215952264 has 128 divisors (see below), whose sum is σ = 661852800. Its totient is φ = 64696320.

The previous prime is 215952257. The next prime is 215952287. The reversal of 215952264 is 462259512.

215952264 is a `hidden beast` number, since 2 + 1 + 595 + 2 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230004 + ... + 230940.

It is an arithmetic number, because the mean of its divisors is an integer number (5170725).

Almost surely, 2^215952264 is an apocalyptic number.

215952264 is a gapful number since it is divisible by the number (24) 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 215952264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330926400).

215952264 is an abundant number, since it is smaller than the sum of its proper divisors (445900536).

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

215952264 is a wasteful number, since it uses less digits than its factorization.

215952264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 215952264 is about 14695.3143552630. The cubic root of 215952264 is about 599.9557967435.

The spelling of 215952264 in words is "two hundred fifteen million, nine hundred fifty-two thousand, two hundred sixty-four".