83820870 has 144 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 18845568.

The previous prime is 83820839. The next prime is 83820871. The reversal of 83820870 is 7802838.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83820871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365916 + ... + 366144.

It is an arithmetic number, because the mean of its divisors is an integer number (1789515).

Almost surely, 2^83820870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83820870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

83820870 is an abundant number, since it is smaller than the sum of its proper divisors (173869290).

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

83820870 is a wasteful number, since it uses less digits than its factorization.

83820870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83820870 is about 9155.3738317996. The cubic root of 83820870 is about 437.6403816173.

The spelling of 83820870 in words is "eighty-three million, eight hundred twenty thousand, eight hundred seventy".