23014400 has 132 divisors (see below), whose sum is σ = 60918720. Its totient is φ = 8601600.

The previous prime is 23014399. The next prime is 23014427. The reversal of 23014400 is 441032.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742385 + ... + 742415.

Almost surely, 2^23014400 is an apocalyptic number.

23014400 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 23014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459360).

23014400 is an abundant number, since it is smaller than the sum of its proper divisors (37904320).

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

23014400 is a wasteful number, since it uses less digits than its factorization.

23014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23014400 is about 4797.3325921808. The cubic root of 23014400 is about 284.4460358707.

Adding to 23014400 its reverse (441032), we get a palindrome (23455432).

The spelling of 23014400 in words is "twenty-three million, fourteen thousand, four hundred".