23305968 has 150 divisors (see below), whose sum is σ = 78680976. Its totient is φ = 6640704.

The previous prime is 23305943. The next prime is 23305973. The reversal of 23305968 is 86950332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63321 + ... + 63687.

Almost surely, 2^23305968 is an apocalyptic number.

23305968 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 23305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39340488).

23305968 is an abundant number, since it is smaller than the sum of its proper divisors (55375008).

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

23305968 is a wasteful number, since it uses less digits than its factorization.

23305968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23305968 is about 4827.6255032883. The cubic root of 23305968 is about 285.6422082947.

The spelling of 23305968 in words is "twenty-three million, three hundred five thousand, nine hundred sixty-eight".