13274640 has 120 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3485952.

The previous prime is 13274629. The next prime is 13274641. The reversal of 13274640 is 4647231.

13274640 is a `hidden beast` number, since 13 + 2 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13274641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74071 + ... + 74249.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^13274640 is an apocalyptic number.

13274640 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 13274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

13274640 is an abundant number, since it is smaller than the sum of its proper divisors (31990320).

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

13274640 is a wasteful number, since it uses less digits than its factorization.

13274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13274640 is about 3643.4379368942. The cubic root of 13274640 is about 236.7777652912. Note that the first 4 decimals are identical.

The spelling of 13274640 in words is "thirteen million, two hundred seventy-four thousand, six hundred forty".