13264640 has 72 divisors (see below), whose sum is σ = 32646768. Its totient is φ = 5160960.

The previous prime is 13264639. The next prime is 13264663. The reversal of 13264640 is 4646231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54920 + ... + 55160.

Almost surely, 2^13264640 is an apocalyptic number.

13264640 is a gapful number since it is divisible by the number (10) 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 13264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323384).

13264640 is an abundant number, since it is smaller than the sum of its proper divisors (19382128).

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

13264640 is an equidigital number, since it uses as much as digits as its factorization.

13264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 13264640 is about 3642.0653481232. The cubic root of 13264640 is about 236.7182941878.

The spelling of 13264640 in words is "thirteen million, two hundred sixty-four thousand, six hundred forty".