218772960 has 96 divisors (see below), whose sum is σ = 787594752. Its totient is φ = 50004480.

The previous prime is 218772943. The next prime is 218772979. The reversal of 218772960 is 69277812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29196 + ... + 35915.

It is an arithmetic number, because the mean of its divisors is an integer number (8204112).

Almost surely, 2^218772960 is an apocalyptic number.

218772960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218772960 is an abundant number, since it is smaller than the sum of its proper divisors (568821792).

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

218772960 is a wasteful number, since it uses less digits than its factorization.

218772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65136 (or 65128 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 218772960 is about 14790.9756270504. The cubic root of 218772960 is about 602.5566460173.

The spelling of 218772960 in words is "two hundred eighteen million, seven hundred seventy-two thousand, nine hundred sixty".