13725840 has 40 divisors (see below), whose sum is σ = 42550848. Its totient is φ = 3660160.

The previous prime is 13725769. The next prime is 13725841. The reversal of 13725840 is 4852731.

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 junction number, because it is equal to n+sod(n) for n = 13725798 and 13725807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725841) 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, 28356 + ... + 28835.

Almost surely, 2^13725840 is an apocalyptic number.

13725840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13725840 is an abundant number, since it is smaller than the sum of its proper divisors (28825008).

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

13725840 is a wasteful number, since it uses less digits than its factorization.

13725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57207 (or 57201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13725840 is about 3704.8400775202. The cubic root of 13725840 is about 239.4305945856.

The spelling of 13725840 in words is "thirteen million, seven hundred twenty-five thousand, eight hundred forty".