23642500 has 90 divisors (see below), whose sum is σ = 60454086. Its totient is φ = 8064000.

The previous prime is 23642477. The next prime is 23642513. The reversal of 23642500 is 524632.

23642500 = 981² + 982² + ... + 1004².

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 12446784 + 11195716 = 3528^2 + 3346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122404 + ... + 122596.

Almost surely, 2^23642500 is an apocalyptic number.

23642500 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 23642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227043).

23642500 is an abundant number, since it is smaller than the sum of its proper divisors (36811586).

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

23642500 is a wasteful number, since it uses less digits than its factorization.

23642500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

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

The square root of 23642500 is about 4862.3553963074. The cubic root of 23642500 is about 287.0105092325.

It can be divided in two parts, 23642 and 500, that added together give a palindrome (24142).

The spelling of 23642500 in words is "twenty-three million, six hundred forty-two thousand, five hundred".