23768000 has 56 divisors (see below), whose sum is σ = 58881264. Its totient is φ = 9504000.

The previous prime is 23767999. The next prime is 23768047. The reversal of 23768000 is 86732.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6515 + ... + 9485.

Almost surely, 2^23768000 is an apocalyptic number.

23768000 is a gapful number since it is divisible by the number (20) 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 23768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440632).

23768000 is an abundant number, since it is smaller than the sum of its proper divisors (35113264).

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

23768000 is an equidigital number, since it uses as much as digits as its factorization.

23768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 23768000 is about 4875.2435836582. The cubic root of 23768000 is about 287.5174532568.

The spelling of 23768000 in words is "twenty-three million, seven hundred sixty-eight thousand".