84071700 has 108 divisors (see below), whose sum is σ = 266245980. Its totient is φ = 22187520.

The previous prime is 84071699. The next prime is 84071707. The reversal of 84071700 is 717048.

It can be written as a sum of positive squares in 6 ways, for example, as 3825936 + 80245764 = 1956^2 + 8958^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84071707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97672 + ... + 98528.

Almost surely, 2^84071700 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 84071700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133122990).

84071700 is an abundant number, since it is smaller than the sum of its proper divisors (182174280).

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

84071700 is a wasteful number, since it uses less digits than its factorization.

84071700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 84071700 is about 9169.0621112522. The cubic root of 84071700 is about 438.0764862987.

Adding to 84071700 its reverse (717048), we get a palindrome (84788748).

The spelling of 84071700 in words is "eighty-four million, seventy-one thousand, seven hundred".