13785040 has 20 divisors (see below), whose sum is σ = 32050404. Its totient is φ = 5513984.

The previous prime is 13785001. The next prime is 13785041. The reversal of 13785040 is 4058731.

13785040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 11641744 = 1464^2 + 3412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×13785040⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86077 + ... + 86236.

Almost surely, 2^13785040 is an apocalyptic number.

13785040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13785040 is an abundant number, since it is smaller than the sum of its proper divisors (18265364).

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

13785040 is a wasteful number, since it uses less digits than its factorization.

13785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172326 (or 172320 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13785040 is about 3712.8210298909. The cubic root of 13785040 is about 239.7743248983.

The spelling of 13785040 in words is "thirteen million, seven hundred eighty-five thousand, forty".