83884760 has 64 divisors (see below), whose sum is σ = 198201600. Its totient is φ = 31910400.

The previous prime is 83884751. The next prime is 83884763. The reversal of 83884760 is 6748838.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83884763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75086 + ... + 76194.

It is an arithmetic number, because the mean of its divisors is an integer number (3096900).

Almost surely, 2^83884760 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 83884760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

83884760 is an abundant number, since it is smaller than the sum of its proper divisors (114316840).

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

83884760 is a wasteful number, since it uses less digits than its factorization.

83884760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 83884760 is about 9158.8623747712. The cubic root of 83884760 is about 437.7515462269.

The spelling of 83884760 in words is "eighty-three million, eight hundred eighty-four thousand, seven hundred sixty".