61852032 has 128 divisors (see below), whose sum is σ = 199267200. Its totient is φ = 18731520.

The previous prime is 61852031. The next prime is 61852033. The reversal of 61852032 is 23025816.

61852032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61852031) and next prime (61852033).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61851987 and 61852005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61852031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37203 + ... + 38829.

It is an arithmetic number, because the mean of its divisors is an integer number (1556775).

Almost surely, 2^61852032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99633600).

61852032 is an abundant number, since it is smaller than the sum of its proper divisors (137415168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61852032 is a wasteful number, since it uses less digits than its factorization.

61852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61852032 is about 7864.6062838517. The cubic root of 61852032 is about 395.4740492380.

Adding to 61852032 its reverse (23025816), we get a palindrome (84877848).

It can be divided in two parts, 618 and 52032, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 61852032 in words is "sixty-one million, eight hundred fifty-two thousand, thirty-two".