13185840 has 40 divisors (see below), whose sum is σ = 40876848. Its totient is φ = 3516160.

The previous prime is 13185827. The next prime is 13185841. The reversal of 13185840 is 4858131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13185798 and 13185807.

It is not an unprimeable number, because it can be changed into a prime (13185841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27231 + ... + 27710.

Almost surely, 2^13185840 is an apocalyptic number.

13185840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13185840 is an abundant number, since it is smaller than the sum of its proper divisors (27691008).

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

13185840 is a wasteful number, since it uses less digits than its factorization.

13185840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54957 (or 54951 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 13185840 is about 3631.2311961647. The cubic root of 13185840 is about 236.2486128526.

The spelling of 13185840 in words is "thirteen million, one hundred eighty-five thousand, eight hundred forty".