220902960 has 160 divisors (see below), whose sum is σ = 708526080. Its totient is φ = 56908800.

The previous prime is 220902943. The next prime is 220902977. The reversal of 220902960 is 69209022.

It is an interprime number because it is at equal distance from previous prime (220902943) and next prime (220902977).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1156465 + ... + 1156655.

It is an arithmetic number, because the mean of its divisors is an integer number (4428288).

Almost surely, 2^220902960 is an apocalyptic number.

220902960 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 220902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354263040).

220902960 is an abundant number, since it is smaller than the sum of its proper divisors (487623120).

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

220902960 is a wasteful number, since it uses less digits than its factorization.

220902960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 220902960 is about 14862.8045805628. The cubic root of 220902960 is about 604.5058551880.

The spelling of 220902960 in words is "two hundred twenty million, nine hundred two thousand, nine hundred sixty".