13982080 has 64 divisors (see below), whose sum is σ = 38213280. Its totient is φ = 4792320.

The previous prime is 13982063. The next prime is 13982093. The reversal of 13982080 is 8028931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13982080² = 390997122252800, which contains 22 as substring.

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, 2920 + ... + 6040.

Almost surely, 2^13982080 is an apocalyptic number.

13982080 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 13982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106640).

13982080 is an abundant number, since it is smaller than the sum of its proper divisors (24231200).

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

13982080 is an equidigital number, since it uses as much as digits as its factorization.

13982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 13982080 is about 3739.2619592642. The cubic root of 13982080 is about 240.9113497744.

The spelling of 13982080 in words is "thirteen million, nine hundred eighty-two thousand, eighty".