223687968 has 96 divisors (see below), whose sum is σ = 673634304. Its totient is φ = 63666432.

The previous prime is 223687963. The next prime is 223687973. The reversal of 223687968 is 869786322.

It is an interprime number because it is at equal distance from previous prime (223687963) and next prime (223687973).

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

It is a self number, because there is not a number n which added to its sum of digits gives 223687968.

It is not an unprimeable number, because it can be changed into a prime (223687963) 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, 246171 + ... + 247077.

It is an arithmetic number, because the mean of its divisors is an integer number (7017024).

Almost surely, 2^223687968 is an apocalyptic number.

223687968 is a gapful number since it is divisible by the number (28) 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 223687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336817152).

223687968 is an abundant number, since it is smaller than the sum of its proper divisors (449946336).

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

223687968 is a wasteful number, since it uses less digits than its factorization.

223687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 223687968 is about 14956.2016568379. The cubic root of 223687968 is about 607.0356654368.

The spelling of 223687968 in words is "two hundred twenty-three million, six hundred eighty-seven thousand, nine hundred sixty-eight".