220169664 has 336 divisors, whose sum is σ = 775634720. Its totient is φ = 61585920.

The previous prime is 220169617. The next prime is 220169683. The reversal of 220169664 is 466961022.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16936122 + ... + 16936134.

Almost surely, 2^220169664 is an apocalyptic number.

220169664 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 220169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387817360).

220169664 is an abundant number, since it is smaller than the sum of its proper divisors (555465056).

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

220169664 is an equidigital number, since it uses as much as digits as its factorization.

220169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 220169664 is about 14838.1152441946. The cubic root of 220169664 is about 603.8362200850.

The spelling of 220169664 in words is "two hundred twenty million, one hundred sixty-nine thousand, six hundred sixty-four".