215580960 has 192 divisors, whose sum is σ = 862444800. Its totient is φ = 49268736.

The previous prime is 215580949. The next prime is 215580979. The reversal of 215580960 is 69085512.

It is a happy number.

215580960 is a `hidden beast` number, since 2 + 15 + 580 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26676 + ... + 33804.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2^215580960 is an apocalyptic number.

215580960 is a gapful number since it is divisible by the number (20) 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 215580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431222400).

215580960 is an abundant number, since it is smaller than the sum of its proper divisors (646863840).

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

215580960 is a wasteful number, since it uses less digits than its factorization.

215580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 215580960 is about 14682.6755055065. The cubic root of 215580960 is about 599.6117488226.

The spelling of 215580960 in words is "two hundred fifteen million, five hundred eighty thousand, nine hundred sixty".