816901824 has 56 divisors (see below), whose sum is σ = 2165299200. Its totient is φ = 271807744.

The previous prime is 816901823. The next prime is 816901829. The reversal of 816901824 is 428109618.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (816901823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111457 + ... + 118559.

Almost surely, 2^816901824 is an apocalyptic number.

It is an amenable number.

816901824 is an abundant number, since it is smaller than the sum of its proper divisors (1348397376).

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

816901824 is a wasteful number, since it uses less digits than its factorization.

816901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 816901824 is about 28581.4944325870. The cubic root of 816901824 is about 934.8098687815.

The spelling of 816901824 in words is "eight hundred sixteen million, nine hundred one thousand, eight hundred twenty-four".