83280560 has 80 divisors (see below), whose sum is σ = 213548832. Its totient is φ = 29952000.

The previous prime is 83280559. The next prime is 83280563. The reversal of 83280560 is 6508238.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (83280563) 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, 88412 + ... + 89348.

Almost surely, 2^83280560 is an apocalyptic number.

83280560 is a gapful number since it is divisible by the number (80) 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 83280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106774416).

83280560 is an abundant number, since it is smaller than the sum of its proper divisors (130268272).

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

83280560 is a wasteful number, since it uses less digits than its factorization.

83280560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 83280560 is about 9125.8183194714. The cubic root of 83280560 is about 436.6980093916.

Adding to 83280560 its reverse (6508238), we get a palindrome (89788798).

The spelling of 83280560 in words is "eighty-three million, two hundred eighty thousand, five hundred sixty".