220672368 has 120 divisors (see below), whose sum is σ = 730236000. Its totient is φ = 60867072.

The previous prime is 220672343. The next prime is 220672409. The reversal of 220672368 is 863276022.

220672368 is a `hidden beast` number, since 220 + 6 + 72 + 368 = 666.

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 23 ways as a sum of consecutive naturals, for example, 25458 + ... + 33006.

It is an arithmetic number, because the mean of its divisors is an integer number (6085300).

Almost surely, 2^220672368 is an apocalyptic number.

220672368 is a gapful number since it is divisible by the number (28) 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 220672368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365118000).

220672368 is an abundant number, since it is smaller than the sum of its proper divisors (509563632).

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

220672368 is a wasteful number, since it uses less digits than its factorization.

220672368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7590 counting only the distinct ones).

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

The square root of 220672368 is about 14855.0452035664. The cubic root of 220672368 is about 604.2954419142.

The spelling of 220672368 in words is "two hundred twenty million, six hundred seventy-two thousand, three hundred sixty-eight".