13825640 has 32 divisors (see below), whose sum is σ = 31219560. Its totient is φ = 5510400.

The previous prime is 13825627. The next prime is 13825649. The reversal of 13825640 is 4652831.

It can be written as a sum of positive squares in 4 ways, for example, as 4813636 + 9012004 = 2194^2 + 3002^2 .

It is a super-2 number, since 2×13825640² = 382296642819200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13825649) 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, 16430 + ... + 17250.

Almost surely, 2^13825640 is an apocalyptic number.

13825640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825640 is an abundant number, since it is smaller than the sum of its proper divisors (17393920).

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

13825640 is a wasteful number, since it uses less digits than its factorization.

13825640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 13825640 is about 3718.2845507035. The cubic root of 13825640 is about 240.0094903655.

The spelling of 13825640 in words is "thirteen million, eight hundred twenty-five thousand, six hundred forty".