220797360 has 320 divisors, whose sum is σ = 921369600. Its totient is φ = 47443968.

The previous prime is 220797323. The next prime is 220797371. The reversal of 220797360 is 63797022.

220797360 is a `hidden beast` number, since 2 + 207 + 97 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256611 + ... + 257469.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 2^220797360 is an apocalyptic number.

220797360 is a gapful number since it is divisible by the number (20) 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 220797360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460684800).

220797360 is an abundant number, since it is smaller than the sum of its proper divisors (700572240).

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

220797360 is a wasteful number, since it uses less digits than its factorization.

220797360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 220797360 is about 14859.2516635260. The cubic root of 220797360 is about 604.4095142532.

The spelling of 220797360 in words is "two hundred twenty million, seven hundred ninety-seven thousand, three hundred sixty".