220826880 has 216 divisors, whose sum is σ = 791579880. Its totient is φ = 56770560.

The previous prime is 220826869. The next prime is 220826891. The reversal of 220826880 is 88628022.

It is an interprime number because it is at equal distance from previous prime (220826869) and next prime (220826891).

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 171714816 = 7008^2 + 13104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333750 + ... + 334410.

Almost surely, 2^220826880 is an apocalyptic number.

220826880 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 220826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395789940).

220826880 is an abundant number, since it is smaller than the sum of its proper divisors (570753000).

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

220826880 is a wasteful number, since it uses less digits than its factorization.

220826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 220826880 is about 14860.2449508748. The cubic root of 220826880 is about 604.4364490164.

The spelling of 220826880 in words is "two hundred twenty million, eight hundred twenty-six thousand, eight hundred eighty".