220260264 has 64 divisors (see below), whose sum is σ = 639661440. Its totient is φ = 61896960.

The previous prime is 220260253. The next prime is 220260311. The reversal of 220260264 is 462062022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499 + ... + 20994.

It is an arithmetic number, because the mean of its divisors is an integer number (9994710).

Almost surely, 2^220260264 is an apocalyptic number.

220260264 is a gapful number since it is divisible by the number (24) 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 220260264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319830720).

220260264 is an abundant number, since it is smaller than the sum of its proper divisors (419401176).

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

220260264 is a wasteful number, since it uses less digits than its factorization.

220260264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21570 (or 21566 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220260264 is about 14841.1678785734. The cubic root of 220260264 is about 603.9190350956.

The spelling of 220260264 in words is "two hundred twenty million, two hundred sixty thousand, two hundred sixty-four".