220892672 has 160 divisors (see below), whose sum is σ = 593961984. Its totient is φ = 79257600.

The previous prime is 220892669. The next prime is 220892687. The reversal of 220892672 is 276298022.

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, 512297 + ... + 512727.

Almost surely, 2^220892672 is an apocalyptic number.

220892672 is a gapful number since it is divisible by the number (22) 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 220892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

220892672 is an abundant number, since it is smaller than the sum of its proper divisors (373069312).

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

220892672 is a wasteful number, since it uses less digits than its factorization.

220892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 220892672 is about 14862.4584776544. The cubic root of 220892672 is about 604.4964705955.

The spelling of 220892672 in words is "two hundred twenty million, eight hundred ninety-two thousand, six hundred seventy-two".