13983640 has 64 divisors (see below), whose sum is σ = 34953120. Its totient is φ = 4992000.

The previous prime is 13983587. The next prime is 13983647. The reversal of 13983640 is 4638931.

It is a junction number, because it is equal to n+sod(n) for n = 13983596 and 13983605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13983647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26580 + ... + 27100.

Almost surely, 2^13983640 is an apocalyptic number.

13983640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476560).

13983640 is an abundant number, since it is smaller than the sum of its proper divisors (20969480).

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

13983640 is a wasteful number, since it uses less digits than its factorization.

13983640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13983640 is about 3739.4705507598. The cubic root of 13983640 is about 240.9203090453.

It can be divided in two parts, 139836 and 40, that added together give a square (139876 = 374²).

The spelling of 13983640 in words is "thirteen million, nine hundred eighty-three thousand, six hundred forty".