13695680 has 56 divisors (see below), whose sum is σ = 32967168. Its totient is φ = 5419008.

The previous prime is 13695673. The next prime is 13695683. The reversal of 13695680 is 8659631.

It is not an unprimeable number, because it can be changed into a prime (13695683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40472 + ... + 40808.

Almost surely, 2^13695680 is an apocalyptic number.

13695680 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 13695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483584).

13695680 is an abundant number, since it is smaller than the sum of its proper divisors (19271488).

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

13695680 is a wasteful number, since it uses less digits than its factorization.

13695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 13695680 is about 3700.7674879679. The cubic root of 13695680 is about 239.2550978024.

The spelling of 13695680 in words is "thirteen million, six hundred ninety-five thousand, six hundred eighty".