220860864 has 336 divisors, whose sum is σ = 807110400. Its totient is φ = 57853440.

The previous prime is 220860859. The next prime is 220860869. The reversal of 220860864 is 468068022.

It is an interprime number because it is at equal distance from previous prime (220860859) and next prime (220860869).

It is a tau number, because it is divible by the number of its divisors (336).

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 (220860869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7124529 + ... + 7124559.

Almost surely, 2^220860864 is an apocalyptic number.

220860864 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 220860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403555200).

220860864 is an abundant number, since it is smaller than the sum of its proper divisors (586249536).

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

220860864 is a wasteful number, since it uses less digits than its factorization.

220860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 62 counting only the distinct ones).

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

The square root of 220860864 is about 14861.3883604460. The cubic root of 220860864 is about 604.4674538691.

The spelling of 220860864 in words is "two hundred twenty million, eight hundred sixty thousand, eight hundred sixty-four".