85835700 has 90 divisors (see below), whose sum is σ = 278271686. Its totient is φ = 22887360.

The previous prime is 85835699. The next prime is 85835707. The reversal of 85835700 is 753858.

It is a happy number.

85835700 is a `hidden beast` number, since 8 + 5 + 83 + 570 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 236196 + 85599504 = 486^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (85835707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2802 + ... + 13398.

Almost surely, 2^85835700 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 85835700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139135843).

85835700 is an abundant number, since it is smaller than the sum of its proper divisors (192435986).

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

85835700 is a wasteful number, since it uses less digits than its factorization.

85835700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10607 counting only the distinct ones).

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

The square root of 85835700 is about 9264.7557981849. The cubic root of 85835700 is about 441.1192236308.

The spelling of 85835700 in words is "eighty-five million, eight hundred thirty-five thousand, seven hundred".