13762980 has 192 divisors, whose sum is σ = 53544960. Its totient is φ = 2851200.

The previous prime is 13762951. The next prime is 13762997. The reversal of 13762980 is 8926731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41415 + ... + 41745.

It is an arithmetic number, because the mean of its divisors is an integer number (278880).

Almost surely, 2^13762980 is an apocalyptic number.

13762980 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 13762980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772480).

13762980 is an abundant number, since it is smaller than the sum of its proper divisors (39781980).

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

13762980 is a wasteful number, since it uses less digits than its factorization.

13762980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13762980 is about 3709.8490535330. The cubic root of 13762980 is about 239.6463541502.

It can be divided in two parts, 1376 and 2980, that added together give a square (4356 = 66²).

The spelling of 13762980 in words is "thirteen million, seven hundred sixty-two thousand, nine hundred eighty".