215760 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 53760.

The previous prime is 215753. The next prime is 215767. The reversal of 215760 is 67512.

It is an interprime number because it is at equal distance from previous prime (215753) and next prime (215767).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215767) 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, 6945 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²¹⁵⁷⁶⁰ is an apocalyptic number.

215760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 464×465.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

215760 is an abundant number, since it is smaller than the sum of its proper divisors (498480).

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

215760 is a wasteful number, since it uses less digits than its factorization.

215760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 215760 is about 464.4997308934. The cubic root of 215760 is about 59.9777695422.

The spelling of 215760 in words is "two hundred fifteen thousand, seven hundred sixty".