816901632 has 80 divisors (see below), whose sum is σ = 2418126480. Its totient is φ = 272295936.

The previous prime is 816901619. The next prime is 816901639. The reversal of 816901632 is 236109618.

816901632 is a `hidden beast` number, since 8 + 16 + 9 + 0 + 1 + 632 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816901639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15723 + ... + 43370.

It is an arithmetic number, because the mean of its divisors is an integer number (30226581).

Almost surely, 2^816901632 is an apocalyptic number.

It is an amenable number.

816901632 is an abundant number, since it is smaller than the sum of its proper divisors (1601224848).

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

816901632 is an equidigital number, since it uses as much as digits as its factorization.

816901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59120 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 816901632 is about 28581.4910737701. The cubic root of 816901632 is about 934.8097955440.

The spelling of 816901632 in words is "eight hundred sixteen million, nine hundred one thousand, six hundred thirty-two".