13766980 has 48 divisors (see below), whose sum is σ = 30086784. Its totient is φ = 5287680.

The previous prime is 13766969. The next prime is 13766981. The reversal of 13766980 is 8966731.

13766980 = T₃₂₅ + T₃₂₆ + ... + T₄₈₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84379 + ... + 84541.

It is an arithmetic number, because the mean of its divisors is an integer number (626808).

Almost surely, 2^13766980 is an apocalyptic number.

13766980 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 13766980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043392).

13766980 is an abundant number, since it is smaller than the sum of its proper divisors (16319804).

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

13766980 is a wasteful number, since it uses less digits than its factorization.

13766980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 13766980 is about 3710.3881198602. The cubic root of 13766980 is about 239.6695684193.

The spelling of 13766980 in words is "thirteen million, seven hundred sixty-six thousand, nine hundred eighty".