23085700 has 72 divisors (see below), whose sum is σ = 56496384. Its totient is φ = 8112000.

The previous prime is 23085683. The next prime is 23085707. The reversal of 23085700 is 758032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23085707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33762 + ... + 34438.

It is an arithmetic number, because the mean of its divisors is an integer number (784672).

Almost surely, 2^23085700 is an apocalyptic number.

23085700 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 23085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28248192).

23085700 is an abundant number, since it is smaller than the sum of its proper divisors (33410684).

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

23085700 is a wasteful number, since it uses less digits than its factorization.

23085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 23085700 is about 4804.7580584250. The cubic root of 23085700 is about 284.7394767079.

It can be divided in two parts, 2308 and 5700, that added together give a palindrome (8008).

The spelling of 23085700 in words is "twenty-three million, eighty-five thousand, seven hundred".