23683968 has 256 divisors, whose sum is σ = 88128000. Its totient is φ = 6082560.

The previous prime is 23683949. The next prime is 23683973. The reversal of 23683968 is 86938632.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266068 + ... + 266156.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^23683968 is an apocalyptic number.

23683968 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 23683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

23683968 is an abundant number, since it is smaller than the sum of its proper divisors (64444032).

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

23683968 is a wasteful number, since it uses less digits than its factorization.

23683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23683968 is about 4866.6177166488. The cubic root of 23683968 is about 287.1782128759.

It can be divided in two parts, 2368 and 3968, that added together give a palindrome (6336).

The spelling of 23683968 in words is "twenty-three million, six hundred eighty-three thousand, nine hundred sixty-eight".