23154768 has 320 divisors, whose sum is σ = 88883200. Its totient is φ = 5598720.

The previous prime is 23154763. The next prime is 23154829. The reversal of 23154768 is 86745132.

It is a super-2 number, since 2×23154768² = 1072286562267648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23154763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746913 + ... + 746943.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 2^23154768 is an apocalyptic number.

23154768 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 23154768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44441600).

23154768 is an abundant number, since it is smaller than the sum of its proper divisors (65728432).

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

23154768 is a wasteful number, since it uses less digits than its factorization.

23154768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 23154768 is about 4811.9401492537. The cubic root of 23154768 is about 285.0231560133.

The spelling of 23154768 in words is "twenty-three million, one hundred fifty-four thousand, seven hundred sixty-eight".