223680864 has 96 divisors (see below), whose sum is σ = 644474880. Its totient is φ = 67366400.

The previous prime is 223680851. The next prime is 223680913. The reversal of 223680864 is 468086322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201142 + ... + 202250.

It is an arithmetic number, because the mean of its divisors is an integer number (6713280).

Almost surely, 2^223680864 is an apocalyptic number.

223680864 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 223680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

223680864 is an abundant number, since it is smaller than the sum of its proper divisors (420794016).

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

223680864 is a wasteful number, since it uses less digits than its factorization.

223680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 223680864 is about 14955.9641614976. The cubic root of 223680864 is about 607.0292391829.

The spelling of 223680864 in words is "two hundred twenty-three million, six hundred eighty thousand, eight hundred sixty-four".