220998960 has 240 divisors, whose sum is σ = 913733184. Its totient is φ = 46614528.

The previous prime is 220998901. The next prime is 220998983. The reversal of 220998960 is 69899022.

220998960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63834 + ... + 67206.

Almost surely, 2^220998960 is an apocalyptic number.

220998960 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 220998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456866592).

220998960 is an abundant number, since it is smaller than the sum of its proper divisors (692734224).

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

220998960 is a wasteful number, since it uses less digits than its factorization.

220998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 220998960 is about 14866.0337682921. The cubic root of 220998960 is about 604.5934112165.

The spelling of 220998960 in words is "two hundred twenty million, nine hundred ninety-eight thousand, nine hundred sixty".