13072980 has 48 divisors (see below), whose sum is σ = 37304064. Its totient is φ = 3419520.

The previous prime is 13072967. The next prime is 13072987. The reversal of 13072980 is 8927031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (777168).

Almost surely, 2^13072980 is an apocalyptic number.

13072980 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 13072980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652032).

13072980 is an abundant number, since it is smaller than the sum of its proper divisors (24231084).

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

13072980 is a wasteful number, since it uses less digits than its factorization.

13072980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13072980 is about 3615.6576165340. The cubic root of 13072980 is about 235.5726490041.

The spelling of 13072980 in words is "thirteen million, seventy-two thousand, nine hundred eighty".