83340 has 36 divisors (see below), whose sum is σ = 253344. Its totient is φ = 22176.

The previous prime is 83339. The next prime is 83341. The reversal of 83340 is 4338.

It is an interprime number because it is at equal distance from previous prime (83339) and next prime (83341).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 8³ + 3⁹ + 3¹⁰ + 4⁶ + 0 .

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83340.

It is not an unprimeable number, because it can be changed into a prime (83341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 411.

2⁸³³⁴⁰ 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 83340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126672).

83340 is an abundant number, since it is smaller than the sum of its proper divisors (170004).

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

83340 is a wasteful number, since it uses less digits than its factorization.

83340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83340 is about 288.6866813693. The cubic root of 83340 is about 43.6801879797.

Adding to 83340 its reverse (4338), we get a palindrome (87678).

The spelling of 83340 in words is "eighty-three thousand, three hundred forty".