23768400 has 120 divisors (see below), whose sum is σ = 78878880. Its totient is φ = 6110720.

The previous prime is 23768389. The next prime is 23768401. The reversal of 23768400 is 486732.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23768401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34459 + ... + 35141.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^23768400 is an apocalyptic number.

23768400 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 23768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39439440).

23768400 is an abundant number, since it is smaller than the sum of its proper divisors (55110480).

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

23768400 is a wasteful number, since it uses less digits than its factorization.

23768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23768400 is about 4875.2846070768. The cubic root of 23768400 is about 287.5190661584.

The spelling of 23768400 in words is "twenty-three million, seven hundred sixty-eight thousand, four hundred".