13760980 has 24 divisors (see below), whose sum is σ = 29031912. Its totient is φ = 5478912.

The previous prime is 13760963. The next prime is 13760987. The reversal of 13760980 is 8906731.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 12292036 = 1212^2 + 3506^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13760987) 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, 3184 + ... + 6136.

It is an arithmetic number, because the mean of its divisors is an integer number (1209663).

Almost surely, 2^13760980 is an apocalyptic number.

13760980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13760980 is an abundant number, since it is smaller than the sum of its proper divisors (15270932).

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

13760980 is a wasteful number, since it uses less digits than its factorization.

13760980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 13760980 is about 3709.5794909936. The cubic root of 13760980 is about 239.6347453289.

The spelling of 13760980 in words is "thirteen million, seven hundred sixty thousand, nine hundred eighty".