23085400 has 72 divisors (see below), whose sum is σ = 58204980. Its totient is φ = 8511360.

The previous prime is 23085397. The next prime is 23085427. The reversal of 23085400 is 458032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33459 + ... + 34141.

Almost surely, 2^23085400 is an apocalyptic number.

23085400 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 23085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102490).

23085400 is an abundant number, since it is smaller than the sum of its proper divisors (35119580).

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

23085400 is a wasteful number, since it uses less digits than its factorization.

23085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 23085400 is about 4804.7268392698. The cubic root of 23085400 is about 284.7382433006.

The spelling of 23085400 in words is "twenty-three million, eighty-five thousand, four hundred".