61813632 has 96 divisors (see below), whose sum is σ = 174732120. Its totient is φ = 19357696.

The previous prime is 61813621. The next prime is 61813681. The reversal of 61813632 is 23631816.

61813632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61813632.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 110698 + ... + 111254.

Almost surely, 2^61813632 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 61813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87366060).

61813632 is an abundant number, since it is smaller than the sum of its proper divisors (112918488).

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

61813632 is a wasteful number, since it uses less digits than its factorization.

61813632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 579 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 61813632 is about 7862.1645874403. The cubic root of 61813632 is about 395.3921907186.

The spelling of 61813632 in words is "sixty-one million, eight hundred thirteen thousand, six hundred thirty-two".