14671680 has 224 divisors, whose sum is σ = 52669440. Its totient is φ = 3440640.

The previous prime is 14671637. The next prime is 14671681. The reversal of 14671680 is 8617641.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14671681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473265 + ... + 473295.

Almost surely, 2^14671680 is an apocalyptic number.

14671680 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 14671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

14671680 is an abundant number, since it is smaller than the sum of its proper divisors (37997760).

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

14671680 is a wasteful number, since it uses less digits than its factorization.

14671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14671680 is about 3830.3629070886. The cubic root of 14671680 is about 244.8085690537.

It can be divided in two parts, 14671 and 680, that added together give a palindrome (15351).

The spelling of 14671680 in words is "fourteen million, six hundred seventy-one thousand, six hundred eighty".