220817664 has 180 divisors, whose sum is σ = 688550016. Its totient is φ = 70253568.

The previous prime is 220817651. The next prime is 220817671. The reversal of 220817664 is 466718022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476697 + ... + 477159.

Almost surely, 2^220817664 is an apocalyptic number.

220817664 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 220817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344275008).

220817664 is an abundant number, since it is smaller than the sum of its proper divisors (467732352).

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

220817664 is an equidigital number, since it uses as much as digits as its factorization.

220817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 220817664 is about 14859.9348585382. The cubic root of 220817664 is about 604.4280403724.

The spelling of 220817664 in words is "two hundred twenty million, eight hundred seventeen thousand, six hundred sixty-four".