13982976 has 216 divisors, whose sum is σ = 50200640. Its totient is φ = 3760128.

The previous prime is 13982963. The next prime is 13982977. The reversal of 13982976 is 67928931.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822520 + ... + 822536.

Almost surely, 2^13982976 is an apocalyptic number.

13982976 is a gapful number since it is divisible by the number (16) 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 13982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25100320).

13982976 is an abundant number, since it is smaller than the sum of its proper divisors (36217664).

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

13982976 is an equidigital number, since it uses as much as digits as its factorization.

13982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13982976 is about 3739.3817670840. The cubic root of 13982976 is about 240.9164956935.

The spelling of 13982976 in words is "thirteen million, nine hundred eighty-two thousand, nine hundred seventy-six".