215802880 has 88 divisors (see below), whose sum is σ = 523655352. Its totient is φ = 85327872.

The previous prime is 215802871. The next prime is 215802883. The reversal of 215802880 is 88208512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 215737344 = 256^2 + 14688^2 .

It is not an unprimeable number, because it can be changed into a prime (215802883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578374 + ... + 578746.

It is an arithmetic number, because the mean of its divisors is an integer number (5950629).

Almost surely, 2^215802880 is an apocalyptic number.

215802880 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 215802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261827676).

215802880 is an abundant number, since it is smaller than the sum of its proper divisors (307852472).

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

215802880 is a wasteful number, since it uses less digits than its factorization.

215802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 215802880 is about 14690.2307674182. The cubic root of 215802880 is about 599.8174259316.

The spelling of 215802880 in words is "two hundred fifteen million, eight hundred two thousand, eight hundred eighty".