13653840 has 40 divisors (see below), whose sum is σ = 42327648. Its totient is φ = 3640960.

The previous prime is 13653811. The next prime is 13653859. The reversal of 13653840 is 4835631.

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 = 13653798 and 13653807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28206 + ... + 28685.

Almost surely, 2^13653840 is an apocalyptic number.

13653840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13653840 is an abundant number, since it is smaller than the sum of its proper divisors (28673808).

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

13653840 is a wasteful number, since it uses less digits than its factorization.

13653840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56907 (or 56901 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13653840 is about 3695.1102825220. The cubic root of 13653840 is about 239.0112095954.

The spelling of 13653840 in words is "thirteen million, six hundred fifty-three thousand, eight hundred forty".