220529664 has 66 divisors (see below), whose sum is σ = 636801230. Its totient is φ = 73506816.

The previous prime is 220529653. The next prime is 220529707. The reversal of 220529664 is 466925022.

It can be written as a sum of positive squares in only one way, i.e., 201867264 + 18662400 = 14208^2 + 4320^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2749 + ... + 21180.

Almost surely, 2^220529664 is an apocalyptic number.

220529664 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 220529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318400615).

220529664 is an abundant number, since it is smaller than the sum of its proper divisors (416271566).

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

220529664 is a wasteful number, since it uses less digits than its factorization.

220529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 220529664 is about 14850.2412101622. The cubic root of 220529664 is about 604.1651522710.

The spelling of 220529664 in words is "two hundred twenty million, five hundred twenty-nine thousand, six hundred sixty-four".