61613832 has 64 divisors (see below), whose sum is σ = 177390720. Its totient is φ = 17468928.

The previous prime is 61613809. The next prime is 61613861. The reversal of 61613832 is 23831616.

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 61613832.

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, 21678 + ... + 24354.

It is an arithmetic number, because the mean of its divisors is an integer number (2771730).

Almost surely, 2^61613832 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 61613832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88695360).

61613832 is an abundant number, since it is smaller than the sum of its proper divisors (115776888).

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

61613832 is a wasteful number, since it uses less digits than its factorization.

61613832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2826 counting only the distinct ones).

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

The square root of 61613832 is about 7849.4478786727. The cubic root of 61613832 is about 394.9657226037.

The spelling of 61613832 in words is "sixty-one million, six hundred thirteen thousand, eight hundred thirty-two".