83840 has 32 divisors (see below), whose sum is σ = 201960. Its totient is φ = 33280.

The previous prime is 83833. The next prime is 83843. The reversal of 83840 is 4838.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83843) by changing a digit.

83840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 705.

2⁸³⁸⁴⁰ is an apocalyptic number.

83840 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 83840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100980).

83840 is an abundant number, since it is smaller than the sum of its proper divisors (118120).

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

83840 is a wasteful number, since it uses less digits than its factorization.

83840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83840 is about 289.5513771337. The cubic root of 83840 is about 43.7673672545.

It can be divided in two parts, 838 and 40, that added together give a palindrome (878).

The spelling of 83840 in words is "eighty-three thousand, eight hundred forty".