85920600 has 96 divisors (see below), whose sum is σ = 269514000. Its totient is φ = 22640640.

The previous prime is 85920589. The next prime is 85920607. The reversal of 85920600 is 602958.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85920607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52596 + ... + 54204.

Almost surely, 2^85920600 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 85920600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134757000).

85920600 is an abundant number, since it is smaller than the sum of its proper divisors (183593400).

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

85920600 is a wasteful number, since it uses less digits than its factorization.

85920600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 85920600 is about 9269.3365458376. The cubic root of 85920600 is about 441.2646125590.

The spelling of 85920600 in words is "eighty-five million, nine hundred twenty thousand, six hundred".