23280264 has 128 divisors (see below), whose sum is σ = 75168000. Its totient is φ = 6538752.

The previous prime is 23280227. The next prime is 23280269. The reversal of 23280264 is 46208232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23280269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134482 + ... + 134654.

It is an arithmetic number, because the mean of its divisors is an integer number (587250).

Almost surely, 2^23280264 is an apocalyptic number.

23280264 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 23280264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37584000).

23280264 is an abundant number, since it is smaller than the sum of its proper divisors (51887736).

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

23280264 is a wasteful number, since it uses less digits than its factorization.

23280264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23280264 is about 4824.9625905286. The cubic root of 23280264 is about 285.5371586899.

Adding to 23280264 its reverse (46208232), we get a palindrome (69488496).

The spelling of 23280264 in words is "twenty-three million, two hundred eighty thousand, two hundred sixty-four".