13982640 has 240 divisors, whose sum is σ = 53434080. Its totient is φ = 3010560.

The previous prime is 13982627. The next prime is 13982659. The reversal of 13982640 is 4628931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341020 + ... + 341060.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^13982640 is an apocalyptic number.

13982640 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 13982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

13982640 is an abundant number, since it is smaller than the sum of its proper divisors (39451440).

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

13982640 is a wasteful number, since it uses less digits than its factorization.

13982640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13982640 is about 3739.3368396014. The cubic root of 13982640 is about 240.9145659996.

The spelling of 13982640 in words is "thirteen million, nine hundred eighty-two thousand, six hundred forty".