23675400 has 144 divisors (see below), whose sum is σ = 90916800. Its totient is φ = 5408640.

The previous prime is 23675389. The next prime is 23675401. The reversal of 23675400 is 457632.

It is a happy number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23675401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11661 + ... + 13539.

It is a vampire number, since it can be written as 4200 ⋅ 5637 (with its own digits).

Almost surely, 2^23675400 is an apocalyptic number.

23675400 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 23675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45458400).

23675400 is an abundant number, since it is smaller than the sum of its proper divisors (67241400).

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

23675400 is a wasteful number, since it uses less digits than its factorization.

23675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23675400 is about 4865.7373541941. The cubic root of 23675400 is about 287.1435784810.

The spelling of 23675400 in words is "twenty-three million, six hundred seventy-five thousand, four hundred".