13506976 has 48 divisors (see below), whose sum is σ = 32187456. Its totient is φ = 5446656.

The previous prime is 13506973. The next prime is 13507009. The reversal of 13506976 is 67960531.

It is not an unprimeable number, because it can be changed into a prime (13506973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2035 + ... + 5581.

It is an arithmetic number, because the mean of its divisors is an integer number (670572).

Almost surely, 2^13506976 is an apocalyptic number.

13506976 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 13506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093728).

13506976 is an abundant number, since it is smaller than the sum of its proper divisors (18680480).

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

13506976 is a wasteful number, since it uses less digits than its factorization.

13506976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 13506976 is about 3675.1838049273. The cubic root of 13506976 is about 238.1511644725.

The spelling of 13506976 in words is "thirteen million, five hundred six thousand, nine hundred seventy-six".