215120520 has 96 divisors (see below), whose sum is σ = 700989120. Its totient is φ = 57214080.

The previous prime is 215120519. The next prime is 215120531. The reversal of 215120520 is 25021512.

215120520 is a `hidden beast` number, since 21 + 5 + 120 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 215120493 and 215120502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226687 + ... + 227633.

It is an arithmetic number, because the mean of its divisors is an integer number (7301970).

Almost surely, 2^215120520 is an apocalyptic number.

215120520 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 215120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350494560).

215120520 is an abundant number, since it is smaller than the sum of its proper divisors (485868600).

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

215120520 is a wasteful number, since it uses less digits than its factorization.

215120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 215120520 is about 14666.9874207350. The cubic root of 215120520 is about 599.1845589285.

The spelling of 215120520 in words is "two hundred fifteen million, one hundred twenty thousand, five hundred twenty".