220628864 has 64 divisors (see below), whose sum is σ = 451105200. Its totient is φ = 107458560.

The previous prime is 220628843. The next prime is 220628869. The reversal of 220628864 is 468826022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220628869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218854 + ... + 1219034.

Almost surely, 2^220628864 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 220628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225552600).

220628864 is an abundant number, since it is smaller than the sum of its proper divisors (230476336).

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

220628864 is a wasteful number, since it uses less digits than its factorization.

220628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 220628864 is about 14853.5808477283. The cubic root of 220628864 is about 604.2557284438.

The spelling of 220628864 in words is "two hundred twenty million, six hundred twenty-eight thousand, eight hundred sixty-four".