220642368 has 56 divisors (see below), whose sum is σ = 593384640. Its totient is φ = 72337920.

The previous prime is 220642349. The next prime is 220642391. The reversal of 220642368 is 863246022.

It is a super-3 number, since 3×220642368³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293 + ... + 21131.

Almost surely, 2^220642368 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 220642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296692320).

220642368 is an abundant number, since it is smaller than the sum of its proper divisors (372742272).

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

220642368 is a wasteful number, since it uses less digits than its factorization.

220642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18915 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 220642368 is about 14854.0354112948. The cubic root of 220642368 is about 604.2680563909.

The spelling of 220642368 in words is "two hundred twenty million, six hundred forty-two thousand, three hundred sixty-eight".