816165504 has 256 divisors, whose sum is σ = 3004185600. Its totient is φ = 211921920.

The previous prime is 816165503. The next prime is 816165521. The reversal of 816165504 is 405561618.

It is a super-2 number, since 2×816165504² = 1332252259839148032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (816165503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264579 + ... + 267645.

It is an arithmetic number, because the mean of its divisors is an integer number (11735100).

Almost surely, 2^816165504 is an apocalyptic number.

816165504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502092800).

816165504 is an abundant number, since it is smaller than the sum of its proper divisors (2188020096).

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

816165504 is a wasteful number, since it uses less digits than its factorization.

816165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 816165504 is about 28568.6104667343. The cubic root of 816165504 is about 934.5289186138.

The spelling of 816165504 in words is "eight hundred sixteen million, one hundred sixty-five thousand, five hundred four".