264866112 has 196 divisors, whose sum is σ = 901716256. Its totient is φ = 75582720.

The previous prime is 264866089. The next prime is 264866113. The reversal of 264866112 is 211668462.

264866112 is a `hidden beast` number, since 2 + 648 + 6 + 6 + 1 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 264866112 = 376³ + 596³ = 450³ + 558³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264866113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326187 + ... + 326997.

Almost surely, 2^264866112 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 264866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450858128).

264866112 is an abundant number, since it is smaller than the sum of its proper divisors (636850144).

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

264866112 is an frugal number, since it uses more digits than its factorization.

264866112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 264866112 is about 16274.7077393113. The cubic root of 264866112 is about 642.2076365682.

The spelling of 264866112 in words is "two hundred sixty-four million, eight hundred sixty-six thousand, one hundred twelve".