220645600 has 216 divisors, whose sum is σ = 651614544. Its totient is φ = 71424000.

The previous prime is 220645597. The next prime is 220645619. The reversal of 220645600 is 6546022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5381580 + ... + 5381620.

It is an arithmetic number, because the mean of its divisors is an integer number (3016734).

Almost surely, 2^220645600 is an apocalyptic number.

220645600 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 220645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325807272).

220645600 is an abundant number, since it is smaller than the sum of its proper divisors (430968944).

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

220645600 is a wasteful number, since it uses less digits than its factorization.

220645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 220645600 is about 14854.1442028816. The cubic root of 220645600 is about 604.2710068439.

The spelling of 220645600 in words is "two hundred twenty million, six hundred forty-five thousand, six hundred".