220927080 has 128 divisors (see below), whose sum is σ = 746496000. Its totient is φ = 51820800.

The previous prime is 220927067. The next prime is 220927081. The reversal of 220927080 is 80729022.

220927080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (220927081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38221 + ... + 43619.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^220927080 is an apocalyptic number.

220927080 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 220927080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

220927080 is an abundant number, since it is smaller than the sum of its proper divisors (525568920).

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

220927080 is a wasteful number, since it uses less digits than its factorization.

220927080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 220927080 is about 14863.6159799693. The cubic root of 220927080 is about 604.5278560258.

The spelling of 220927080 in words is "two hundred twenty million, nine hundred twenty-seven thousand, eighty".