815522016 has 48 divisors (see below), whose sum is σ = 2150233344. Its totient is φ = 270635904.

The previous prime is 815521999. The next prime is 815522027. The reversal of 815522016 is 610225518.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3081 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (44796528).

Almost surely, 2^815522016 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 815522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075116672).

815522016 is an abundant number, since it is smaller than the sum of its proper divisors (1334711328).

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

815522016 is a wasteful number, since it uses less digits than its factorization.

815522016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37663 (or 37655 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 815522016 is about 28557.3460951819. The cubic root of 815522016 is about 934.2832510159.

The spelling of 815522016 in words is "eight hundred fifteen million, five hundred twenty-two thousand, sixteen".