83824380 has 72 divisors (see below), whose sum is σ = 255916752. Its totient is φ = 22208256.

The previous prime is 83824357. The next prime is 83824441. The reversal of 83824380 is 8342838.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27912 + ... + 30768.

Almost surely, 2^83824380 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 83824380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127958376).

83824380 is an abundant number, since it is smaller than the sum of its proper divisors (172092372).

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

83824380 is a wasteful number, since it uses less digits than its factorization.

83824380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83824380 is about 9155.5655204908. The cubic root of 83824380 is about 437.6464902642.

The spelling of 83824380 in words is "eighty-three million, eight hundred twenty-four thousand, three hundred eighty".