223668720 has 240 divisors, whose sum is σ = 846802944. Its totient is φ = 52416000.

The previous prime is 223668701. The next prime is 223668727. The reversal of 223668720 is 27866322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (223668727) 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, 245065 + ... + 245975.

Almost surely, 2^223668720 is an apocalyptic number.

223668720 is a gapful number since it is divisible by the number (20) 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 223668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423401472).

223668720 is an abundant number, since it is smaller than the sum of its proper divisors (623134224).

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

223668720 is a wasteful number, since it uses less digits than its factorization.

223668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 223668720 is about 14955.5581641074. The cubic root of 223668720 is about 607.0182534473.

The spelling of 223668720 in words is "two hundred twenty-three million, six hundred sixty-eight thousand, seven hundred twenty".