215966880 has 144 divisors (see below), whose sum is σ = 752903424. Its totient is φ = 56348160.

The previous prime is 215966869. The next prime is 215966893. The reversal of 215966880 is 88669512.

215966880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 66085 + ... + 69275.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^215966880 is an apocalyptic number.

215966880 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 215966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

215966880 is an abundant number, since it is smaller than the sum of its proper divisors (536936544).

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

215966880 is a wasteful number, since it uses less digits than its factorization.

215966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 215966880 is about 14695.8116482214. The cubic root of 215966880 is about 599.9693317658.

The spelling of 215966880 in words is "two hundred fifteen million, nine hundred sixty-six thousand, eight hundred eighty".