83482380 has 96 divisors (see below), whose sum is σ = 268154880. Its totient is φ = 21539520.

The previous prime is 83482369. The next prime is 83482417. The reversal of 83482380 is 8328438.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14247 + ... + 19233.

It is an arithmetic number, because the mean of its divisors is an integer number (2793280).

Almost surely, 2^83482380 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 83482380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134077440).

83482380 is an abundant number, since it is smaller than the sum of its proper divisors (184672500).

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

83482380 is a wasteful number, since it uses less digits than its factorization.

83482380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5028 counting only the distinct ones).

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

The square root of 83482380 is about 9136.8692668769. The cubic root of 83482380 is about 437.0504857828.

The spelling of 83482380 in words is "eighty-three million, four hundred eighty-two thousand, three hundred eighty".