220731360 has 96 divisors (see below), whose sum is σ = 731928960. Its totient is φ = 55761408.

The previous prime is 220731353. The next prime is 220731361. The reversal of 220731360 is 63137022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220731360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220731361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2982 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (7624260).

Almost surely, 2^220731360 is an apocalyptic number.

220731360 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 220731360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365964480).

220731360 is an abundant number, since it is smaller than the sum of its proper divisors (511197600).

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

220731360 is a wasteful number, since it uses less digits than its factorization.

220731360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240 (or 24232 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 220731360 is about 14857.0306589170. The cubic root of 220731360 is about 604.3492855692.

Adding to 220731360 its reverse (63137022), we get a palindrome (283868382).

The spelling of 220731360 in words is "two hundred twenty million, seven hundred thirty-one thousand, three hundred sixty".