83439840 has 96 divisors (see below), whose sum is σ = 286747776. Its totient is φ = 20226560.

The previous prime is 83439821. The next prime is 83439841. The reversal of 83439840 is 4893438.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83439841) 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, 2622 + ... + 13181.

It is an arithmetic number, because the mean of its divisors is an integer number (2986956).

Almost surely, 2^83439840 is an apocalyptic number.

83439840 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 83439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143373888).

83439840 is an abundant number, since it is smaller than the sum of its proper divisors (203307936).

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

83439840 is a wasteful number, since it uses less digits than its factorization.

83439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83439840 is about 9134.5410393736. The cubic root of 83439840 is about 436.9762374343.

It can be divided in two parts, 834398 and 40, that added together give a palindrome (834438).

The spelling of 83439840 in words is "eighty-three million, four hundred thirty-nine thousand, eight hundred forty".