220068864 has 66 divisors (see below), whose sum is σ = 635470680. Its totient is φ = 73353216.

The previous prime is 220068857. The next prime is 220068869. The reversal of 220068864 is 468860022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220068869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2724 + ... + 21155.

Almost surely, 2^220068864 is an apocalyptic number.

220068864 is a gapful number since it is divisible by the number (24) 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 220068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317735340).

220068864 is an abundant number, since it is smaller than the sum of its proper divisors (415401816).

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

220068864 is a wasteful number, since it uses less digits than its factorization.

220068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 220068864 is about 14834.7181975257. The cubic root of 220068864 is about 603.7440548262.

The spelling of 220068864 in words is "two hundred twenty million, sixty-eight thousand, eight hundred sixty-four".