816162399 has 96 divisors (see below), whose sum is σ = 1394265600. Its totient is φ = 473558400.

The previous prime is 816162349. The next prime is 816162407. The reversal of 816162399 is 993261618.

It is a happy number.

816162399 is a `hidden beast` number, since 8 + 1 + 616 + 23 + 9 + 9 = 666.

It is not a de Polignac number, because 816162399 - 2⁸ = 816162143 is a prime.

It is a super-2 number, since 2×816162399² = 1332242123082870402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816162349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5404974 + ... + 5405124.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2^816162399 is an apocalyptic number.

816162399 is a deficient number, since it is larger than the sum of its proper divisors (578103201).

816162399 is a wasteful number, since it uses less digits than its factorization.

816162399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 816162399 is about 28568.5561238226. The cubic root of 816162399 is about 934.5277335127.

The spelling of 816162399 in words is "eight hundred sixteen million, one hundred sixty-two thousand, three hundred ninety-nine".