815307164 has 24 divisors (see below), whose sum is σ = 1633308768. Its totient is φ = 348840000.

The previous prime is 815307149. The next prime is 815307191. The reversal of 815307164 is 461703518.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

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, 6587 + ... + 40914.

It is an arithmetic number, because the mean of its divisors is an integer number (68054532).

Almost surely, 2^815307164 is an apocalyptic number.

It is an amenable number.

815307164 is an abundant number, since it is smaller than the sum of its proper divisors (818001604).

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

815307164 is a wasteful number, since it uses less digits than its factorization.

815307164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48125 (or 48123 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 815307164 is about 28553.5840832635. The cubic root of 815307164 is about 934.2011971283.

The spelling of 815307164 in words is "eight hundred fifteen million, three hundred seven thousand, one hundred sixty-four".