79963632 has 160 divisors (see below), whose sum is σ = 271093760. Its totient is φ = 22083840.

The previous prime is 79963627. The next prime is 79963649. The reversal of 79963632 is 23636997.

79963632 is a `hidden beast` number, since 7 + 9 + 9 + 6 + 3 + 632 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 93318 + ... + 94170.

It is an arithmetic number, because the mean of its divisors is an integer number (1694336).

Almost surely, 2^79963632 is an apocalyptic number.

79963632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79963632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135546880).

79963632 is an abundant number, since it is smaller than the sum of its proper divisors (191130128).

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

79963632 is a wasteful number, since it uses less digits than its factorization.

79963632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 79963632 is about 8942.2386458873. The cubic root of 79963632 is about 430.8216343757.

It can be divided in two parts, 7996 and 3632, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 79963632 in words is "seventy-nine million, nine hundred sixty-three thousand, six hundred thirty-two".