14607680 has 56 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 5788160.

The previous prime is 14607673. The next prime is 14607689. The reversal of 14607680 is 8670641.

14607680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14607689) 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, 61001 + ... + 61239.

Almost surely, 2^14607680 is an apocalyptic number.

14607680 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 14607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

14607680 is an abundant number, since it is smaller than the sum of its proper divisors (20505280).

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

14607680 is a wasteful number, since it uses less digits than its factorization.

14607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 14607680 is about 3821.9994767137. Note that the first 3 decimals coincide. The cubic root of 14607680 is about 244.4520866910.

14607680 divided by its sum of digits (32) gives a triangular number (456490 = T₉₅₅).

The spelling of 14607680 in words is "fourteen million, six hundred seven thousand, six hundred eighty".