816735560 has 32 divisors (see below), whose sum is σ = 1840924800. Its totient is φ = 326112960.

The previous prime is 816735553. The next prime is 816735571. The reversal of 816735560 is 65537618.

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 7 ways as a sum of consecutive naturals, for example, 4961 + ... + 40719.

It is an arithmetic number, because the mean of its divisors is an integer number (57528900).

Almost surely, 2^816735560 is an apocalyptic number.

It is an amenable number.

816735560 is an abundant number, since it is smaller than the sum of its proper divisors (1024189240).

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

816735560 is a wasteful number, since it uses less digits than its factorization.

816735560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341 (or 36337 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 816735560 is about 28578.5856892884. The cubic root of 816735560 is about 934.7464438716.

The spelling of 816735560 in words is "eight hundred sixteen million, seven hundred thirty-five thousand, five hundred sixty".