13995840 has 112 divisors (see below), whose sum is σ = 45354240. Its totient is φ = 3655680.

The previous prime is 13995833. The next prime is 13995847. The reversal of 13995840 is 4859931.

It is an interprime number because it is at equal distance from previous prime (13995833) and next prime (13995847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13995847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58441 + ... + 58679.

Almost surely, 2^13995840 is an apocalyptic number.

13995840 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 13995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677120).

13995840 is an abundant number, since it is smaller than the sum of its proper divisors (31358400).

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

13995840 is a wasteful number, since it uses less digits than its factorization.

13995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 13995840 is about 3741.1014420889. The cubic root of 13995840 is about 240.9903521674.

The spelling of 13995840 in words is "thirteen million, nine hundred ninety-five thousand, eight hundred forty".