220869072 has 160 divisors (see below), whose sum is σ = 678528000. Its totient is φ = 68584320.

The previous prime is 220869067. The next prime is 220869101. The reversal of 220869072 is 270968022.

It is a super-2 number, since 2×220869072² = 97566293932282368, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 582579 + ... + 582957.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2^220869072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264000).

220869072 is an abundant number, since it is smaller than the sum of its proper divisors (457658928).

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

220869072 is a wasteful number, since it uses less digits than its factorization.

220869072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 220869072 is about 14861.6645097378. The cubic root of 220869072 is about 604.4749418524.

The spelling of 220869072 in words is "two hundred twenty million, eight hundred sixty-nine thousand, seventy-two".