13814976 has 112 divisors (see below), whose sum is σ = 44053760. Its totient is φ = 3732480.

The previous prime is 13814963. The next prime is 13814989. The reversal of 13814976 is 67941831.

It is an interprime number because it is at equal distance from previous prime (13814963) and next prime (13814989).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25266 + ... + 25806.

Almost surely, 2^13814976 is an apocalyptic number.

13814976 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 13814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026880).

13814976 is an abundant number, since it is smaller than the sum of its proper divisors (30238784).

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

13814976 is a wasteful number, since it uses less digits than its factorization.

13814976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 13814976 is about 3716.8502794705. The cubic root of 13814976 is about 239.9477664105.

The spelling of 13814976 in words is "thirteen million, eight hundred fourteen thousand, nine hundred seventy-six".