23029600 has 72 divisors (see below), whose sum is σ = 61355448. Its totient is φ = 8371200.

The previous prime is 23029597. The next prime is 23029609. The reversal of 23029600 is 692032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23029609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7492 + ... + 10108.

It is an arithmetic number, because the mean of its divisors is an integer number (852159).

Almost surely, 2^23029600 is an apocalyptic number.

23029600 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 23029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30677724).

23029600 is an abundant number, since it is smaller than the sum of its proper divisors (38325848).

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

23029600 is a wasteful number, since it uses less digits than its factorization.

23029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 23029600 is about 4798.9165443879. The cubic root of 23029600 is about 284.5086434592.

The spelling of 23029600 in words is "twenty-three million, twenty-nine thousand, six hundred".