83505870 has 256 divisors, whose sum is σ = 283668480. Its totient is φ = 17031168.

The previous prime is 83505859. The next prime is 83505901. The reversal of 83505870 is 7850538.

It is a happy number.

83505870 is a `hidden beast` number, since 83 + 505 + 8 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738934 + ... + 739046.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 2^83505870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83505870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

83505870 is an abundant number, since it is smaller than the sum of its proper divisors (200162610).

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

83505870 is a wasteful number, since it uses less digits than its factorization.

83505870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 83505870 is about 9138.1546277134. The cubic root of 83505870 is about 437.0914738858.

The spelling of 83505870 in words is "eighty-three million, five hundred five thousand, eight hundred seventy".