13630976 has 40 divisors (see below), whose sum is σ = 27661920. Its totient is φ = 6709248.

The previous prime is 13630937. The next prime is 13630997. The reversal of 13630976 is 67903631.

It is a zygodrome in base 2.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 40280 + ... + 40616.

It is an arithmetic number, because the mean of its divisors is an integer number (691548).

Almost surely, 2^13630976 is an apocalyptic number.

13630976 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 13630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830960).

13630976 is an abundant number, since it is smaller than the sum of its proper divisors (14030944).

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

13630976 is an frugal number, since it uses more digits than its factorization.

13630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 13630976 is about 3692.0151678995. The cubic root of 13630976 is about 238.8777232047.

The spelling of 13630976 in words is "thirteen million, six hundred thirty thousand, nine hundred seventy-six".