220672512 has 200 divisors, whose sum is σ = 699621516. Its totient is φ = 69009408.

The previous prime is 220672489. The next prime is 220672523. The reversal of 220672512 is 215276022.

It can be written as a sum of positive squares in 2 ways, for example, as 211527936 + 9144576 = 14544^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704868 + ... + 705180.

Almost surely, 2^220672512 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 220672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349810758).

220672512 is an abundant number, since it is smaller than the sum of its proper divisors (478949004).

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

220672512 is an equidigital number, since it uses as much as digits as its factorization.

220672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220672512 is about 14855.0500504037. The cubic root of 220672512 is about 604.2955733587.

The spelling of 220672512 in words is "two hundred twenty million, six hundred seventy-two thousand, five hundred twelve".