83438576 has 80 divisors (see below), whose sum is σ = 187904640. Its totient is φ = 35562240.

The previous prime is 83438573. The next prime is 83438587. The reversal of 83438576 is 67583438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83438573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169691 + ... + 170181.

It is an arithmetic number, because the mean of its divisors is an integer number (2348808).

Almost surely, 2^83438576 is an apocalyptic number.

83438576 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83438576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952320).

83438576 is an abundant number, since it is smaller than the sum of its proper divisors (104466064).

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

83438576 is a wasteful number, since it uses less digits than its factorization.

83438576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 83438576 is about 9134.4718511800. The cubic root of 83438576 is about 436.9740308914.

The spelling of 83438576 in words is "eighty-three million, four hundred thirty-eight thousand, five hundred seventy-six".