13646980 has 24 divisors (see below), whose sum is σ = 28754712. Its totient is φ = 5440512.

The previous prime is 13646977. The next prime is 13646987. The reversal of 13646980 is 8964631.

It can be written as a sum of positive squares in 4 ways, for example, as 1758276 + 11888704 = 1326^2 + 3448^2 .

It is a super-4 number, since 4×13646980⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13646987) 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, 6094 + ... + 8026.

It is an arithmetic number, because the mean of its divisors is an integer number (1198113).

Almost surely, 2^13646980 is an apocalyptic number.

13646980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13646980 is an abundant number, since it is smaller than the sum of its proper divisors (15107732).

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

13646980 is a wasteful number, since it uses less digits than its factorization.

13646980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 13646980 is about 3694.1819121424. The cubic root of 13646980 is about 238.9711746659.

The spelling of 13646980 in words is "thirteen million, six hundred forty-six thousand, nine hundred eighty".