83185440 has 96 divisors (see below), whose sum is σ = 282211776. Its totient is φ = 20474880.

The previous prime is 83185429. The next prime is 83185483. The reversal of 83185440 is 4458138.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 426 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (2939706).

Almost surely, 2^83185440 is an apocalyptic number.

83185440 is a gapful number since it is divisible by the number (80) 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 83185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141105888).

83185440 is an abundant number, since it is smaller than the sum of its proper divisors (199026336).

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

83185440 is a wasteful number, since it uses less digits than its factorization.

83185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 83185440 is about 9120.6052430746. The cubic root of 83185440 is about 436.5316859049.

The spelling of 83185440 in words is "eighty-three million, one hundred eighty-five thousand, four hundred forty".