61229952 has 128 divisors (see below), whose sum is σ = 206611200. Its totient is φ = 17487360.

The previous prime is 61229941. The next prime is 61229969. The reversal of 61229952 is 25992216.

It is a happy number.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22927 + ... + 25457.

It is an arithmetic number, because the mean of its divisors is an integer number (1614150).

Almost surely, 2^61229952 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 61229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305600).

61229952 is an abundant number, since it is smaller than the sum of its proper divisors (145381248).

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

61229952 is a wasteful number, since it uses less digits than its factorization.

61229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2543 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 61229952 is about 7824.9569966869. The cubic root of 61229952 is about 394.1437458097.

The spelling of 61229952 in words is "sixty-one million, two hundred twenty-nine thousand, nine hundred fifty-two".