83801016 has 144 divisors (see below), whose sum is σ = 251793360. Its totient is φ = 25159680.

The previous prime is 83800999. The next prime is 83801017. The reversal of 83801016 is 61010838.

It is a super-2 number, since 2×83801016² = 14045220565264512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83801017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 863880 + ... + 863976.

It is an arithmetic number, because the mean of its divisors is an integer number (1748565).

Almost surely, 2^83801016 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 83801016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125896680).

83801016 is an abundant number, since it is smaller than the sum of its proper divisors (167992344).

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

83801016 is a wasteful number, since it uses less digits than its factorization.

83801016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 83801016 is about 9154.2894863556. The cubic root of 83801016 is about 437.6058253934.

The spelling of 83801016 in words is "eighty-three million, eight hundred one thousand, sixteen".