23965968 has 80 divisors (see below), whose sum is σ = 67356800. Its totient is φ = 7299072.

The previous prime is 23965957. The next prime is 23965969. The reversal of 23965968 is 86956932.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23965969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120333 + ... + 120531.

It is an arithmetic number, because the mean of its divisors is an integer number (841960).

Almost surely, 2^23965968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23965968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678400).

23965968 is an abundant number, since it is smaller than the sum of its proper divisors (43390832).

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

23965968 is a wasteful number, since it uses less digits than its factorization.

23965968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 23965968 is about 4895.5048769254. The cubic root of 23965968 is about 288.3135089076.

The spelling of 23965968 in words is "twenty-three million, nine hundred sixty-five thousand, nine hundred sixty-eight".