816892290 has 160 divisors (see below), whose sum is σ = 2287265904. Its totient is φ = 209018880.

The previous prime is 816892283. The next prime is 816892319. The reversal of 816892290 is 92298618.

It can be written as a sum of positive squares in 8 ways, for example, as 583077609 + 233814681 = 24147^2 + 15291^2 .

It is a super-2 number, since 2×816892290² = 1334626026922888200, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 2906950 + ... + 2907230.

Almost surely, 2^816892290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816892290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143632952).

816892290 is an abundant number, since it is smaller than the sum of its proper divisors (1470373614).

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

816892290 is a wasteful number, since it uses less digits than its factorization.

816892290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 816892290 is about 28581.3276458600. The cubic root of 816892290 is about 934.8062320687.

The spelling of 816892290 in words is "eight hundred sixteen million, eight hundred ninety-two thousand, two hundred ninety".