23013600 has 144 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 5967360.

The previous prime is 23013589. The next prime is 23013611. The reversal of 23013600 is 631032.

It is an interprime number because it is at equal distance from previous prime (23013589) and next prime (23013611).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23013600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103089 + ... + 103311.

It is an arithmetic number, because the mean of its divisors is an integer number (534688).

Almost surely, 2^23013600 is an apocalyptic number.

23013600 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 23013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

23013600 is an abundant number, since it is smaller than the sum of its proper divisors (53981472).

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

23013600 is a wasteful number, since it uses less digits than its factorization.

23013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 23013600 is about 4797.2492117879. The cubic root of 23013600 is about 284.4427399710.

Adding to 23013600 its reverse (631032), we get a palindrome (23644632).

The spelling of 23013600 in words is "twenty-three million, thirteen thousand, six hundred".