23268168 has 128 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 6039360.

The previous prime is 23268151. The next prime is 23268173. The reversal of 23268168 is 86186232.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15933 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 2^23268168 is an apocalyptic number.

23268168 is a gapful number since it is divisible by the number (28) 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 23268168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

23268168 is an abundant number, since it is smaller than the sum of its proper divisors (57371832).

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

23268168 is a wasteful number, since it uses less digits than its factorization.

23268168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23268168 is about 4823.7089464436. The cubic root of 23268168 is about 285.4876968249.

It can be divided in two parts, 23268 and 168, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 23268168 in words is "twenty-three million, two hundred sixty-eight thousand, one hundred sixty-eight".