220809600 has 576 divisors, whose sum is σ = 932284080. Its totient is φ = 49152000.

The previous prime is 220809593. The next prime is 220809629. The reversal of 220809600 is 6908022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385580 + ... + 5385620.

Almost surely, 2^220809600 is an apocalyptic number.

220809600 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 220809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466142040).

220809600 is an abundant number, since it is smaller than the sum of its proper divisors (711474480).

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

220809600 is a wasteful number, since it uses less digits than its factorization.

220809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220809600 is about 14859.6635224355. The cubic root of 220809600 is about 604.4206826171.

The spelling of 220809600 in words is "two hundred twenty million, eight hundred nine thousand, six hundred".