816735960 has 80 divisors (see below), whose sum is σ = 2745151200. Its totient is φ = 217795392.

The previous prime is 816735923. The next prime is 816735971. The reversal of 816735960 is 69537618.

It is a happy number.

816735960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122800 + ... + 129279.

It is an arithmetic number, because the mean of its divisors is an integer number (34314390).

Almost surely, 2^816735960 is an apocalyptic number.

It is an amenable number.

816735960 is an abundant number, since it is smaller than the sum of its proper divisors (1928415240).

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

816735960 is a wasteful number, since it uses less digits than its factorization.

816735960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252102 (or 252089 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 816735960 is about 28578.5926875345. The cubic root of 816735960 is about 934.7465964703.

The spelling of 816735960 in words is "eight hundred sixteen million, seven hundred thirty-five thousand, nine hundred sixty".