264261312 has 168 divisors, whose sum is σ = 904006320. Its totient is φ = 75479040.

The previous prime is 264261281. The next prime is 264261323. The reversal of 264261312 is 213162462.

264261312 is a `hidden beast` number, since 2 + 6 + 42 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×264261312² = 139668082039922688, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83112 + ... + 86232.

It is an arithmetic number, because the mean of its divisors is an integer number (5380990).

Almost surely, 2^264261312 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 264261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452003160).

264261312 is an abundant number, since it is smaller than the sum of its proper divisors (639745008).

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

264261312 is a wasteful number, since it uses less digits than its factorization.

264261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3133 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 264261312 is about 16256.1161413174. The cubic root of 264261312 is about 641.7184545897.

The spelling of 264261312 in words is "two hundred sixty-four million, two hundred sixty-one thousand, three hundred twelve".