83243688 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 23878400.

The previous prime is 83243669. The next prime is 83243689. The reversal of 83243688 is 88634238.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83243689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 635383 + ... + 635513.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^83243688 is an apocalyptic number.

83243688 is a gapful number since it is divisible by the number (88) 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 83243688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

83243688 is an abundant number, since it is smaller than the sum of its proper divisors (156257112).

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

83243688 is a wasteful number, since it uses less digits than its factorization.

83243688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83243688 is about 9123.7978934214. The cubic root of 83243688 is about 436.6335513479.

The spelling of 83243688 in words is "eighty-three million, two hundred forty-three thousand, six hundred eighty-eight".