83283840 has 192 divisors, whose sum is σ = 303123600. Its totient is φ = 21012480.

The previous prime is 83283779. The next prime is 83283841. The reversal of 83283840 is 4838238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83283795 and 83283804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83283841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109060 + ... + 109820.

Almost surely, 2^83283840 is an apocalyptic number.

83283840 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 83283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151561800).

83283840 is an abundant number, since it is smaller than the sum of its proper divisors (219839760).

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

83283840 is a wasteful number, since it uses less digits than its factorization.

83283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83283840 is about 9125.9980276132. The cubic root of 83283840 is about 436.7037424249.

Adding to 83283840 its sum of digits (36), we get a square (83283876 = 9126²).

The spelling of 83283840 in words is "eighty-three million, two hundred eighty-three thousand, eight hundred forty".