220264576 has 64 divisors (see below), whose sum is σ = 513247680. Its totient is φ = 92187648.

The previous prime is 220264571. The next prime is 220264591. The reversal of 220264576 is 675462022.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (220264571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35670 + ... + 41386.

It is an arithmetic number, because the mean of its divisors is an integer number (8019495).

Almost surely, 2^220264576 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 220264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256623840).

220264576 is an abundant number, since it is smaller than the sum of its proper divisors (292983104).

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

220264576 is an equidigital number, since it uses as much as digits as its factorization.

220264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 220264576 is about 14841.3131494487. The cubic root of 220264576 is about 603.9229760120.

The spelling of 220264576 in words is "two hundred twenty million, two hundred sixty-four thousand, five hundred seventy-six".