215120 has 20 divisors (see below), whose sum is σ = 500340. Its totient is φ = 86016.

The previous prime is 215087. The next prime is 215123. The reversal of 215120 is 21512.

215120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 179776 = 188^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×215120² = 92553228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (25017).

2²¹⁵¹²⁰ is an apocalyptic number.

215120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215120 is an abundant number, since it is smaller than the sum of its proper divisors (285220).

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

215120 is a wasteful number, since it uses less digits than its factorization.

215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 215120 is about 463.8103060519. The cubic root of 215120 is about 59.9184076135.

Adding to 215120 its reverse (21512), we get a palindrome (236632).

The spelling of 215120 in words is "two hundred fifteen thousand, one hundred twenty".