23145264 has 60 divisors (see below), whose sum is σ = 67184936. Its totient is φ = 7713792.

The previous prime is 23145209. The next prime is 23145271. The reversal of 23145264 is 46254132.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912 + ... + 6864.

Almost surely, 2^23145264 is an apocalyptic number.

23145264 is a gapful number since it is divisible by the number (24) 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 23145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592468).

23145264 is an abundant number, since it is smaller than the sum of its proper divisors (44039672).

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

23145264 is an equidigital number, since it uses as much as digits as its factorization.

23145264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5958 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 23145264 is about 4810.9525044423. The cubic root of 23145264 is about 284.9841542437.

Adding to 23145264 its reverse (46254132), we get a palindrome (69399396).

It can be divided in two parts, 23145 and 264, that added together give a square (23409 = 153²).

The spelling of 23145264 in words is "twenty-three million, one hundred forty-five thousand, two hundred sixty-four".