83006840 has 128 divisors (see below), whose sum is σ = 225054720. Its totient is φ = 26956800.

The previous prime is 83006831. The next prime is 83006843. The reversal of 83006840 is 4860038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83006843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633575 + ... + 633705.

It is an arithmetic number, because the mean of its divisors is an integer number (1758240).

Almost surely, 2^83006840 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 83006840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112527360).

83006840 is an abundant number, since it is smaller than the sum of its proper divisors (142047880).

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

83006840 is a wasteful number, since it uses less digits than its factorization.

83006840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 83006840 is about 9110.8089651798. The cubic root of 83006840 is about 436.2190493719.

Adding to 83006840 its reverse (4860038), we get a palindrome (87866878).

The spelling of 83006840 in words is "eighty-three million, six thousand, eight hundred forty".