816955392 has 120 divisors (see below), whose sum is σ = 2378097792. Its totient is φ = 247398400.

The previous prime is 816955361. The next prime is 816955427. The reversal of 816955392 is 293559618.

It is a happy number.

It is a super-2 number, since 2×816955392² = 1334832225035747328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539917 + ... + 541427.

Almost surely, 2^816955392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189048896).

816955392 is an abundant number, since it is smaller than the sum of its proper divisors (1561142400).

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

816955392 is a wasteful number, since it uses less digits than its factorization.

816955392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1527 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 816955392 is about 28582.4315270762. The cubic root of 816955392 is about 934.8303015920.

The spelling of 816955392 in words is "eight hundred sixteen million, nine hundred fifty-five thousand, three hundred ninety-two".