264140864 has 56 divisors (see below), whose sum is σ = 572338200. Its totient is φ = 120213504.

The previous prime is 264140861. The next prime is 264140897. The reversal of 264140864 is 468041462.

It can be written as a sum of positive squares in 4 ways, for example, as 1960000 + 262180864 = 1400^2 + 16192^2 .

It is not an unprimeable number, because it can be changed into a prime (264140861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58562 + ... + 62910.

It is an arithmetic number, because the mean of its divisors is an integer number (10220325).

Almost surely, 2^264140864 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 264140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286169100).

264140864 is an abundant number, since it is smaller than the sum of its proper divisors (308197336).

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

264140864 is a wasteful number, since it uses less digits than its factorization.

264140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 264140864 is about 16252.4110211378. The cubic root of 264140864 is about 641.6209432160.

The spelling of 264140864 in words is "two hundred sixty-four million, one hundred forty thousand, eight hundred sixty-four".