14608980 has 72 divisors (see below), whose sum is σ = 44625672. Its totient is φ = 3868416.

The previous prime is 14608921. The next prime is 14608981. The reversal of 14608980 is 8980641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 12194064 = 1554^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14608981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49714 + ... + 50006.

It is an arithmetic number, because the mean of its divisors is an integer number (619801).

Almost surely, 2^14608980 is an apocalyptic number.

14608980 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 14608980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312836).

14608980 is an abundant number, since it is smaller than the sum of its proper divisors (30016692).

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

14608980 is a wasteful number, since it uses less digits than its factorization.

14608980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14608980 is about 3822.1695409806. The cubic root of 14608980 is about 244.4593380886.

It can be divided in two parts, 1460 and 8980, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 14608980 in words is "fourteen million, six hundred eight thousand, nine hundred eighty".