220957560 has 96 divisors (see below), whose sum is σ = 722292480. Its totient is φ = 58579200.

The previous prime is 220957547. The next prime is 220957571. The reversal of 220957560 is 65759022.

220957560 is a `hidden beast` number, since 2 + 2 + 0 + 95 + 7 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 63465 + ... + 66855.

It is an arithmetic number, because the mean of its divisors is an integer number (7523880).

Almost surely, 2^220957560 is an apocalyptic number.

220957560 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 220957560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361146240).

220957560 is an abundant number, since it is smaller than the sum of its proper divisors (501334920).

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

220957560 is a wasteful number, since it uses less digits than its factorization.

220957560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 220957560 is about 14864.6412671144. The cubic root of 220957560 is about 604.5556557894. Note that the first 3 decimals are identical.

The spelling of 220957560 in words is "two hundred twenty million, nine hundred fifty-seven thousand, five hundred sixty".