13763980 has 48 divisors (see below), whose sum is σ = 31500000. Its totient is φ = 5031936.

The previous prime is 13763957. The next prime is 13763983. The reversal of 13763980 is 8936731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13763983) 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, 10396 + ... + 11644.

It is an arithmetic number, because the mean of its divisors is an integer number (656250).

Almost surely, 2^13763980 is an apocalyptic number.

13763980 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 13763980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750000).

13763980 is an abundant number, since it is smaller than the sum of its proper divisors (17736020).

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

13763980 is a wasteful number, since it uses less digits than its factorization.

13763980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 13763980 is about 3709.9838274580. The cubic root of 13763980 is about 239.6521581391.

It can be divided in two parts, 1376 and 3980, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 13763980 in words is "thirteen million, seven hundred sixty-three thousand, nine hundred eighty".