215496960 has 144 divisors (see below), whose sum is σ = 786662016. Its totient is φ = 49250304.

The previous prime is 215496929. The next prime is 215496961. The reversal of 215496960 is 69694512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (215496961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22872 + ... + 30888.

Almost surely, 2^215496960 is an apocalyptic number.

215496960 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 215496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393331008).

215496960 is an abundant number, since it is smaller than the sum of its proper divisors (571165056).

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

215496960 is an equidigital number, since it uses as much as digits as its factorization.

215496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 215496960 is about 14679.8147127271. The cubic root of 215496960 is about 599.5338601721.

The spelling of 215496960 in words is "two hundred fifteen million, four hundred ninety-six thousand, nine hundred sixty".