815416560 has 480 divisors, whose sum is σ = 3431780352. Its totient is φ = 169205760.

The previous prime is 815416541. The next prime is 815416561. The reversal of 815416560 is 65614518.

815416560 is a `hidden beast` number, since 81 + 5 + 4 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815416561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655927 + ... + 2656233.

Almost surely, 2^815416560 is an apocalyptic number.

815416560 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 815416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

815416560 is an abundant number, since it is smaller than the sum of its proper divisors (2616363792).

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

815416560 is a wasteful number, since it uses less digits than its factorization.

815416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 815416560 is about 28555.4996454273. The cubic root of 815416560 is about 934.2429782337.

The spelling of 815416560 in words is "eight hundred fifteen million, four hundred sixteen thousand, five hundred sixty".