30632976 has 120 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 9131520.

The previous prime is 30632951. The next prime is 30633011. The reversal of 30632976 is 67923603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30632976.

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 23 ways as a sum of consecutive naturals, for example, 131356 + ... + 131588.

Almost surely, 2^30632976 is an apocalyptic number.

30632976 is a gapful number since it is divisible by the number (36) 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 30632976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208).

30632976 is an abundant number, since it is smaller than the sum of its proper divisors (64423440).

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

30632976 is a wasteful number, since it uses less digits than its factorization.

30632976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 30632976 is about 5534.7064962832. The cubic root of 30632976 is about 312.8933959723.

The spelling of 30632976 in words is "thirty million, six hundred thirty-two thousand, nine hundred seventy-six".