83280824 has 64 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 35315200.

The previous prime is 83280817. The next prime is 83280839. The reversal of 83280824 is 42808238.

It is a super-2 number, since 2×83280824² = 13871391292237952, which contains 22 as substring.

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, 267629 + ... + 267939.

It is an arithmetic number, because the mean of its divisors is an integer number (2843100).

Almost surely, 2^83280824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83280824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979200).

83280824 is an abundant number, since it is smaller than the sum of its proper divisors (98677576).

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

83280824 is a wasteful number, since it uses less digits than its factorization.

83280824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 83280824 is about 9125.8327839162. The cubic root of 83280824 is about 436.6984708365.

The spelling of 83280824 in words is "eighty-three million, two hundred eighty thousand, eight hundred twenty-four".