14973680 has 20 divisors (see below), whose sum is σ = 34813992. Its totient is φ = 5989440.

The previous prime is 14973677. The next prime is 14973697. The reversal of 14973680 is 8637941.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×14973680² = 448422185484800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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, 93506 + ... + 93665.

Almost surely, 2^14973680 is an apocalyptic number.

14973680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14973680 is an abundant number, since it is smaller than the sum of its proper divisors (19840312).

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

14973680 is a wasteful number, since it uses less digits than its factorization.

14973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187184 (or 187178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 14973680 is about 3869.5839569649. The cubic root of 14973680 is about 246.4768769788.

The spelling of 14973680 in words is "fourteen million, nine hundred seventy-three thousand, six hundred eighty".