264260560 has 40 divisors (see below), whose sum is σ = 615145896. Its totient is φ = 105576960.

The previous prime is 264260527. The next prime is 264260561. The reversal of 264260560 is 65062462.

It can be written as a sum of positive squares in 4 ways, for example, as 107910544 + 156350016 = 10388^2 + 12504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264260561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93082 + ... + 95878.

Almost surely, 2^264260560 is an apocalyptic number.

264260560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264260560 is an abundant number, since it is smaller than the sum of its proper divisors (350885336).

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

264260560 is a wasteful number, since it uses less digits than its factorization.

264260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 264260560 is about 16256.0930115449. The cubic root of 264260560 is about 641.7178458832.

The spelling of 264260560 in words is "two hundred sixty-four million, two hundred sixty thousand, five hundred sixty".