264896268 has 96 divisors (see below), whose sum is σ = 771380736. Its totient is φ = 68884992.

The previous prime is 264896257. The next prime is 264896293. The reversal of 264896268 is 862698462.

It is a super-3 number, since 3×264896268³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264896268.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78055 + ... + 81377.

It is an arithmetic number, because the mean of its divisors is an integer number (8035216).

Almost surely, 2^264896268 is an apocalyptic number.

264896268 is a gapful number since it is divisible by the number (28) 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 264896268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385690368).

264896268 is an abundant number, since it is smaller than the sum of its proper divisors (506484468).

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

264896268 is a wasteful number, since it uses less digits than its factorization.

264896268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3421 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 264896268 is about 16275.6341811924. The cubic root of 264896268 is about 642.2320082258.

The spelling of 264896268 in words is "two hundred sixty-four million, eight hundred ninety-six thousand, two hundred sixty-eight".