23001264 has 120 divisors (see below), whose sum is σ = 75693072. Its totient is φ = 6428160.

The previous prime is 23001257. The next prime is 23001269. The reversal of 23001264 is 46210032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23001269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20034 + ... + 21150.

Almost surely, 2^23001264 is an apocalyptic number.

23001264 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 23001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37846536).

23001264 is an abundant number, since it is smaller than the sum of its proper divisors (52691808).

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

23001264 is a wasteful number, since it uses less digits than its factorization.

23001264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23001264 is about 4795.9633026119. The cubic root of 23001264 is about 284.3919075243.

Adding to 23001264 its reverse (46210032), we get a palindrome (69211296).

The spelling of 23001264 in words is "twenty-three million, one thousand, two hundred sixty-four".