23635968 has 48 divisors (see below), whose sum is σ = 63030240. Its totient is φ = 7876608.

The previous prime is 23635949. The next prime is 23635991. The reversal of 23635968 is 86953632.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×23635968³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4221 + ... + 8067.

It is an arithmetic number, because the mean of its divisors is an integer number (1313130).

Almost surely, 2^23635968 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 23635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31515120).

23635968 is an abundant number, since it is smaller than the sum of its proper divisors (39394272).

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

23635968 is an equidigital number, since it uses as much as digits as its factorization.

23635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3852 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 23635968 is about 4861.6836589807. The cubic root of 23635968 is about 286.9840748406.

The spelling of 23635968 in words is "twenty-three million, six hundred thirty-five thousand, nine hundred sixty-eight".