215968 has 24 divisors (see below), whose sum is σ = 451332. Its totient is φ = 101376.

The previous prime is 215959. The next prime is 215981. The reversal of 215968 is 869512.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 11664 = 452^2 + 108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346 + ... + 742.

2²¹⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225666).

215968 is an abundant number, since it is smaller than the sum of its proper divisors (235364).

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

215968 is a wasteful number, since it uses less digits than its factorization.

215968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 215968 is about 464.7235737511. The cubic root of 215968 is about 59.9970368907.

The spelling of 215968 in words is "two hundred fifteen thousand, nine hundred sixty-eight".