14546980 has 48 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 4814208.

The previous prime is 14546953. The next prime is 14547023. The reversal of 14546980 is 8964541.

It is a happy number.

It is a super-2 number, since 2×14546980² = 423229254240800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2269 + ... + 5851.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 2^14546980 is an apocalyptic number.

14546980 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 14546980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

14546980 is an abundant number, since it is smaller than the sum of its proper divisors (21579740).

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

14546980 is a wasteful number, since it uses less digits than its factorization.

14546980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 14546980 is about 3814.0503405173. The cubic root of 14546980 is about 244.1130220818.

It can be divided in two parts, 145 and 46980, that multiplied together give a square (6812100 = 2610²).

The spelling of 14546980 in words is "fourteen million, five hundred forty-six thousand, nine hundred eighty".