13280976 has 80 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4354560.

The previous prime is 13280951. The next prime is 13280983. The reversal of 13280976 is 67908231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13280976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30456 + ... + 30888.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^13280976 is an apocalyptic number.

13280976 is a gapful number since it is divisible by the number (16) 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 13280976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

13280976 is an abundant number, since it is smaller than the sum of its proper divisors (25466544).

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

13280976 is a wasteful number, since it uses less digits than its factorization.

13280976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

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

The square root of 13280976 is about 3644.3073415946. The cubic root of 13280976 is about 236.8154307269.

The spelling of 13280976 in words is "thirteen million, two hundred eighty thousand, nine hundred seventy-six".