23268000 has 192 divisors, whose sum is σ = 87429888. Its totient is φ = 5299200.

The previous prime is 23267983. The next prime is 23268001. The reversal of 23268000 is 86232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23268001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83862 + ... + 84138.

It is an arithmetic number, because the mean of its divisors is an integer number (455364).

Almost surely, 2^23268000 is an apocalyptic number.

23268000 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 23268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43714944).

23268000 is an abundant number, since it is smaller than the sum of its proper divisors (64161888).

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

23268000 is a wasteful number, since it uses less digits than its factorization.

23268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23268000 is about 4823.6915324262. The cubic root of 23268000 is about 285.4870097338.

The spelling of 23268000 in words is "twenty-three million, two hundred sixty-eight thousand".