220577664 has 64 divisors (see below), whose sum is σ = 590653440. Its totient is φ = 72930816.

The previous prime is 220577657. The next prime is 220577677. The reversal of 220577664 is 466775022.

It is a happy number.

220577664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46507 + ... + 51029.

It is an arithmetic number, because the mean of its divisors is an integer number (9228960).

Almost surely, 2^220577664 is an apocalyptic number.

220577664 is a gapful number since it is divisible by the number (24) 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 220577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295326720).

220577664 is an abundant number, since it is smaller than the sum of its proper divisors (370075776).

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

220577664 is a wasteful number, since it uses less digits than its factorization.

220577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 220577664 is about 14851.8572575958. The cubic root of 220577664 is about 604.2089828424.

The spelling of 220577664 in words is "two hundred twenty million, five hundred seventy-seven thousand, six hundred sixty-four".