23425600 has 105 divisors (see below), whose sum is σ = 63405385. Its totient is φ = 8518400.

The previous prime is 23425573. The next prime is 23425663. The reversal of 23425600 is 652432.

It is a happy number.

The square root of 23425600 is 4840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 14992384 = 2904^2 + 3872^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2129595 + ... + 2129605.

Almost surely, 2^23425600 is an apocalyptic number.

23425600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23425600 is the 4840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23425600

23425600 is an abundant number, since it is smaller than the sum of its proper divisors (39979785).

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

23425600 is an frugal number, since it uses more digits than its factorization.

23425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 23425600 is about 286.1301183073.

It can be divided in two parts, 23425 and 600, that added together give a square (24025 = 155²).

The spelling of 23425600 in words is "twenty-three million, four hundred twenty-five thousand, six hundred".