12264768 has 84 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 4029696.

The previous prime is 12264751. The next prime is 12264779. The reversal of 12264768 is 86746221.

12264768 is a `hidden beast` number, since 1 + 2 + 2 + 647 + 6 + 8 = 666.

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

It is a congruent number.

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, 61533 + ... + 61731.

Almost surely, 2^12264768 is an apocalyptic number.

12264768 is a gapful number since it is divisible by the number (18) 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 12264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

12264768 is an abundant number, since it is smaller than the sum of its proper divisors (23396832).

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

12264768 is a wasteful number, since it uses less digits than its factorization.

12264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12264768 is about 3502.1090788266. The cubic root of 12264768 is about 230.6144126719.

The spelling of 12264768 in words is "twelve million, two hundred sixty-four thousand, seven hundred sixty-eight".