83043840 has 160 divisors (see below), whose sum is σ = 289910016. Its totient is φ = 20111360.

The previous prime is 83043833. The next prime is 83043841. The reversal of 83043840 is 4834038.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83043798 and 83043807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83043841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83989 + ... + 84971.

Almost surely, 2^83043840 is an apocalyptic number.

83043840 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 83043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144955008).

83043840 is an abundant number, since it is smaller than the sum of its proper divisors (206866176).

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

83043840 is a wasteful number, since it uses less digits than its factorization.

83043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83043840 is about 9112.8392940949. The cubic root of 83043840 is about 436.2838541008.

Adding to 83043840 its reverse (4834038), we get a palindrome (87877878).

The spelling of 83043840 in words is "eighty-three million, forty-three thousand, eight hundred forty".