13073280 has 128 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 3164160.

The previous prime is 13073267. The next prime is 13073293. The reversal of 13073280 is 8237031.

13073280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13073267) and next prime (13073293).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13073280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20811 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^13073280 is an apocalyptic number.

13073280 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 13073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

13073280 is an abundant number, since it is smaller than the sum of its proper divisors (32459520).

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

13073280 is a wasteful number, since it uses less digits than its factorization.

13073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13073280 is about 3615.6991025250. The cubic root of 13073280 is about 235.5744509716.

The spelling of 13073280 in words is "thirteen million, seventy-three thousand, two hundred eighty".