14693680 has 40 divisors (see below), whose sum is σ = 34734384. Its totient is φ = 5779200.

The previous prime is 14693677. The next prime is 14693681. The reversal of 14693680 is 8639641.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14693681) 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, 3375 + ... + 6385.

Almost surely, 2^14693680 is an apocalyptic number.

14693680 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 14693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367192).

14693680 is an abundant number, since it is smaller than the sum of its proper divisors (20040704).

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

14693680 is a wasteful number, since it uses less digits than its factorization.

14693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 14693680 is about 3833.2336218916. The cubic root of 14693680 is about 244.9308704031.

The spelling of 14693680 in words is "fourteen million, six hundred ninety-three thousand, six hundred eighty".