220964160 has 112 divisors (see below), whose sum is σ = 704673216. Its totient is φ = 58662912.

The previous prime is 220964153. The next prime is 220964173. The reversal of 220964160 is 61469022.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 323179 + ... + 323861.

Almost surely, 2^220964160 is an apocalyptic number.

220964160 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 220964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352336608).

220964160 is an abundant number, since it is smaller than the sum of its proper divisors (483709056).

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

220964160 is a wasteful number, since it uses less digits than its factorization.

220964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 220964160 is about 14864.8632687960. The cubic root of 220964160 is about 604.5616750865.

The spelling of 220964160 in words is "two hundred twenty million, nine hundred sixty-four thousand, one hundred sixty".