215958960 has 420 divisors, whose sum is σ = 899390352. Its totient is φ = 47215872.

The previous prime is 215958949. The next prime is 215959021. The reversal of 215958960 is 69859512.

215958960 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9389509 + ... + 9389531.

Almost surely, 2^215958960 is an apocalyptic number.

215958960 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 215958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449695176).

215958960 is an abundant number, since it is smaller than the sum of its proper divisors (683431392).

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

215958960 is an equidigital number, since it uses as much as digits as its factorization.

215958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 215958960 is about 14695.5421812194. The cubic root of 215958960 is about 599.9619975931.

The spelling of 215958960 in words is "two hundred fifteen million, nine hundred fifty-eight thousand, nine hundred sixty".