215956560 has 80 divisors (see below), whose sum is σ = 675474624. Its totient is φ = 57071616.

The previous prime is 215956537. The next prime is 215956583. The reversal of 215956560 is 65659512.

It is an interprime number because it is at equal distance from previous prime (215956537) and next prime (215956583).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23139 + ... + 31101.

Almost surely, 2^215956560 is an apocalyptic number.

215956560 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 215956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337737312).

215956560 is an abundant number, since it is smaller than the sum of its proper divisors (459518064).

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

215956560 is a wasteful number, since it uses less digits than its factorization.

215956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 215956560 is about 14695.4605235767. The cubic root of 215956560 is about 599.9597750811.

The spelling of 215956560 in words is "two hundred fifteen million, nine hundred fifty-six thousand, five hundred sixty".