215280520 has 256 divisors, whose sum is σ = 653184000. Its totient is φ = 63221760.

The previous prime is 215280511. The next prime is 215280521. The reversal of 215280520 is 25082512.

215280520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215280521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3032085 + ... + 3032155.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^215280520 is an apocalyptic number.

215280520 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 215280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

215280520 is an abundant number, since it is smaller than the sum of its proper divisors (437903480).

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

215280520 is a wasteful number, since it uses less digits than its factorization.

215280520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 215280520 is about 14672.4408330720. The cubic root of 215280520 is about 599.3330737718. Note that the first 3 decimals are identical.

The spelling of 215280520 in words is "two hundred fifteen million, two hundred eighty thousand, five hundred twenty".