14680540 has 48 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 4767552.

The previous prime is 14680531. The next prime is 14680553. The reversal of 14680540 is 4508641.

It is a super-4 number, since 4×14680540⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14680499 and 14680508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 2^14680540 is an apocalyptic number.

14680540 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 14680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

14680540 is an abundant number, since it is smaller than the sum of its proper divisors (22413860).

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

14680540 is a wasteful number, since it uses less digits than its factorization.

14680540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 14680540 is about 3831.5192809119. The cubic root of 14680540 is about 244.8578378368.

The spelling of 14680540 in words is "fourteen million, six hundred eighty thousand, five hundred forty".