85658700 has 72 divisors (see below), whose sum is σ = 254570512. Its totient is φ = 22222080.

The previous prime is 85658689. The next prime is 85658719. The reversal of 85658700 is 785658.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7242 + ... + 14958.

Almost surely, 2^85658700 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 85658700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127285256).

85658700 is an abundant number, since it is smaller than the sum of its proper divisors (168911812).

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

85658700 is a wasteful number, since it uses less digits than its factorization.

85658700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 85658700 is about 9255.1985391995. The cubic root of 85658700 is about 440.8158074070.

The spelling of 85658700 in words is "eighty-five million, six hundred fifty-eight thousand, seven hundred".