223679904 has 96 divisors (see below), whose sum is σ = 684835200. Its totient is φ = 63899136.

The previous prime is 223679903. The next prime is 223679923. The reversal of 223679904 is 409976322.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (223679903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29532 + ... + 36324.

It is an arithmetic number, because the mean of its divisors is an integer number (7133700).

Almost surely, 2^223679904 is an apocalyptic number.

223679904 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 223679904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342417600).

223679904 is an abundant number, since it is smaller than the sum of its proper divisors (461155296).

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

223679904 is an equidigital number, since it uses as much as digits as its factorization.

223679904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 223679904 is about 14955.9320672434. The cubic root of 223679904 is about 607.0283707598.

The spelling of 223679904 in words is "two hundred twenty-three million, six hundred seventy-nine thousand, nine hundred four".