13972980 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 2820096.

The previous prime is 13972969. The next prime is 13973017. The reversal of 13972980 is 8927931.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 135609 + ... + 135711.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^13972980 is an apocalyptic number.

13972980 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 13972980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13972980 is an abundant number, since it is smaller than the sum of its proper divisors (36346380).

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

13972980 is a wasteful number, since it uses less digits than its factorization.

13972980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 13972980 is about 3738.0449435500. The cubic root of 13972980 is about 240.8590740743.

The spelling of 13972980 in words is "thirteen million, nine hundred seventy-two thousand, nine hundred eighty".