23132564 has 48 divisors (see below), whose sum is σ = 50389248. Its totient is φ = 9047808.

The previous prime is 23132561. The next prime is 23132567. The reversal of 23132564 is 46523132.

It is an interprime number because it is at equal distance from previous prime (23132561) and next prime (23132567).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37184 + ... + 37800.

It is an arithmetic number, because the mean of its divisors is an integer number (1049776).

Almost surely, 2^23132564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25194624).

23132564 is an abundant number, since it is smaller than the sum of its proper divisors (27256684).

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

23132564 is a wasteful number, since it uses less digits than its factorization.

23132564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 23132564 is about 4809.6324183871. The cubic root of 23132564 is about 284.9320203105.

Adding to 23132564 its reverse (46523132), we get a palindrome (69655696).

The spelling of 23132564 in words is "twenty-three million, one hundred thirty-two thousand, five hundred sixty-four".