220924368 has 160 divisors (see below), whose sum is σ = 742016000. Its totient is φ = 61617024.

The previous prime is 220924357. The next prime is 220924399. The reversal of 220924368 is 863429022.

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 31 ways as a sum of consecutive naturals, for example, 129183 + ... + 130881.

It is an arithmetic number, because the mean of its divisors is an integer number (4637600).

Almost surely, 2^220924368 is an apocalyptic number.

220924368 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 220924368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371008000).

220924368 is an abundant number, since it is smaller than the sum of its proper divisors (521091632).

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

220924368 is a wasteful number, since it uses less digits than its factorization.

220924368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 220924368 is about 14863.5247502065. The cubic root of 220924368 is about 604.5253823797.

The spelling of 220924368 in words is "two hundred twenty million, nine hundred twenty-four thousand, three hundred sixty-eight".