264253640 has 32 divisors (see below), whose sum is σ = 679510080. Its totient is φ = 90601152.

The previous prime is 264253603. The next prime is 264253679. The reversal of 264253640 is 46352462.

264253640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264253597 and 264253606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471602 + ... + 472161.

It is an arithmetic number, because the mean of its divisors is an integer number (21234690).

Almost surely, 2^264253640 is an apocalyptic number.

264253640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264253640 is an abundant number, since it is smaller than the sum of its proper divisors (415256440).

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

264253640 is a wasteful number, since it uses less digits than its factorization.

264253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943781 (or 943777 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 264253640 is about 16255.8801668812. The cubic root of 264253640 is about 641.7122444340.

The spelling of 264253640 in words is "two hundred sixty-four million, two hundred fifty-three thousand, six hundred forty".