264753640 has 64 divisors (see below), whose sum is σ = 622080000. Its totient is φ = 101291520.

The previous prime is 264753607. The next prime is 264753641. The reversal of 264753640 is 46357462.

It is a self number, because there is not a number n which added to its sum of digits gives 264753640.

It is not an unprimeable number, because it can be changed into a prime (264753641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109161 + ... + 111559.

It is an arithmetic number, because the mean of its divisors is an integer number (9720000).

Almost surely, 2^264753640 is an apocalyptic number.

264753640 is a gapful number since it is divisible by the number (20) 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 264753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040000).

264753640 is an abundant number, since it is smaller than the sum of its proper divisors (357326360).

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

264753640 is a wasteful number, since it uses less digits than its factorization.

264753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 264753640 is about 16271.2519493738. The cubic root of 264753640 is about 642.1167219509.

The spelling of 264753640 in words is "two hundred sixty-four million, seven hundred fifty-three thousand, six hundred forty".