83864700 has 144 divisors (see below), whose sum is σ = 273420000. Its totient is φ = 22049280.

The previous prime is 83864653. The next prime is 83864707. The reversal of 83864700 is 746838.

83864700 is a `hidden beast` number, since 8 + 3 + 8 + 647 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83864707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240126 + ... + 240474.

It is an arithmetic number, because the mean of its divisors is an integer number (1898750).

Almost surely, 2^83864700 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 83864700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136710000).

83864700 is an abundant number, since it is smaller than the sum of its proper divisors (189555300).

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

83864700 is a wasteful number, since it uses less digits than its factorization.

83864700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83864700 is about 9157.7671951191. The cubic root of 83864700 is about 437.7166491606.

The spelling of 83864700 in words is "eighty-three million, eight hundred sixty-four thousand, seven hundred".