220683672 has 144 divisors (see below), whose sum is σ = 667878120. Its totient is φ = 65767680.

The previous prime is 220683667. The next prime is 220683713. The reversal of 220683672 is 276386022.

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 35 ways as a sum of consecutive naturals, for example, 635803 + ... + 636149.

Almost surely, 2^220683672 is an apocalyptic number.

220683672 is a gapful number since it is divisible by the number (22) 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 220683672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333939060).

220683672 is an abundant number, since it is smaller than the sum of its proper divisors (447194448).

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

220683672 is a wasteful number, since it uses less digits than its factorization.

220683672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 220683672 is about 14855.4256754897. The cubic root of 220683672 is about 604.3057601356.

The spelling of 220683672 in words is "two hundred twenty million, six hundred eighty-three thousand, six hundred seventy-two".