815568960 has 224 divisors, whose sum is σ = 2768071680. Its totient is φ = 202954752.

The previous prime is 815568959. The next prime is 815568961. The reversal of 815568960 is 69865518.

It is an interprime number because it is at equal distance from previous prime (815568959) and next prime (815568961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (815568961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949011 + ... + 949869.

Almost surely, 2^815568960 is an apocalyptic number.

815568960 is a gapful number since it is divisible by the number (80) 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 815568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384035840).

815568960 is an abundant number, since it is smaller than the sum of its proper divisors (1952502720).

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

815568960 is a wasteful number, since it uses less digits than its factorization.

815568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 815568960 is about 28558.1680084700. The cubic root of 815568960 is about 934.3011774281.

The spelling of 815568960 in words is "eight hundred fifteen million, five hundred sixty-eight thousand, nine hundred sixty".