23768192 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 9922560.

The previous prime is 23768191. The next prime is 23768219. The reversal of 23768192 is 29186732.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23768191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36413 + ... + 37059.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^23768192 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 23768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

23768192 is an abundant number, since it is smaller than the sum of its proper divisors (31752448).

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

23768192 is an equidigital number, since it uses as much as digits as its factorization.

23768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 23768192 is about 4875.2632749422. The cubic root of 23768192 is about 287.5182274518.

The spelling of 23768192 in words is "twenty-three million, seven hundred sixty-eight thousand, one hundred ninety-two".