83280924 has 72 divisors (see below), whose sum is σ = 219339120. Its totient is φ = 26611200.

The previous prime is 83280917. The next prime is 83280937. The reversal of 83280924 is 42908238.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 251439 + ... + 251769.

Almost surely, 2^83280924 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 83280924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109669560).

83280924 is an abundant number, since it is smaller than the sum of its proper divisors (136058196).

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

83280924 is a wasteful number, since it uses less digits than its factorization.

83280924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83280924 is about 9125.8382628666. The cubic root of 83280924 is about 436.6986456259.

The spelling of 83280924 in words is "eighty-three million, two hundred eighty thousand, nine hundred twenty-four".