815208264 has 96 divisors (see below), whose sum is σ = 2422700280. Its totient is φ = 246085632.

The previous prime is 815208263. The next prime is 815208311. The reversal of 815208264 is 462802518.

It can be written as a sum of positive squares in 4 ways, for example, as 800324100 + 14884164 = 28290^2 + 3858^2 .

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 (815208263) 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 23 ways as a sum of consecutive naturals, for example, 41392 + ... + 57824.

Almost surely, 2^815208264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815208264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211350140).

815208264 is an abundant number, since it is smaller than the sum of its proper divisors (1607492016).

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

815208264 is a wasteful number, since it uses less digits than its factorization.

815208264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 815208264 is about 28551.8521991131. The cubic root of 815208264 is about 934.1634214945.

The spelling of 815208264 in words is "eight hundred fifteen million, two hundred eight thousand, two hundred sixty-four".