83438280 has 96 divisors (see below), whose sum is σ = 277837560. Its totient is φ = 21703680.

The previous prime is 83438269. The next prime is 83438359. The reversal of 83438280 is 8283438.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57244356 + 26193924 = 7566^2 + 5118^2 .

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

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, 11934 + ... + 17586.

Almost surely, 2^83438280 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 83438280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138918780).

83438280 is an abundant number, since it is smaller than the sum of its proper divisors (194399280).

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

83438280 is a wasteful number, since it uses less digits than its factorization.

83438280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5704 counting only the distinct ones).

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

The square root of 83438280 is about 9134.4556488058. The cubic root of 83438280 is about 436.9735141661.

The spelling of 83438280 in words is "eighty-three million, four hundred thirty-eight thousand, two hundred eighty".