215520 has 48 divisors (see below), whose sum is σ = 680400. Its totient is φ = 57344.

The previous prime is 215507. The next prime is 215521. The reversal of 215520 is 25512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 215520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215521) by changing a digit.

215520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²¹⁵⁵²⁰ is an apocalyptic number.

215520 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 215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

215520 is an abundant number, since it is smaller than the sum of its proper divisors (464880).

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

215520 is a wasteful number, since it uses less digits than its factorization.

215520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 215520 is about 464.2413165585. The cubic root of 215520 is about 59.9555225930.

The spelling of 215520 in words is "two hundred fifteen thousand, five hundred twenty".