215280 has 120 divisors (see below), whose sum is σ = 812448. Its totient is φ = 50688.

The previous prime is 215279. The next prime is 215297. The reversal of 215280 is 82512.

215280 = 66² + 67² + ... + 97².

215280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9349 + ... + 9371.

2²¹⁵²⁸⁰ is an apocalyptic number.

215280 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 215280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

215280 is an abundant number, since it is smaller than the sum of its proper divisors (597168).

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

215280 is a wasteful number, since it uses less digits than its factorization.

215280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 215280 is about 463.9827583003. The cubic root of 215280 is about 59.9332591218.

Adding to 215280 its reverse (82512), we get a palindrome (297792).

The spelling of 215280 in words is "two hundred fifteen thousand, two hundred eighty".