85364700 has 144 divisors (see below), whose sum is σ = 260649984. Its totient is φ = 21542400.

The previous prime is 85364693. The next prime is 85364711. The reversal of 85364700 is 746358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623032 + ... + 623168.

Almost surely, 2^85364700 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 85364700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130324992).

85364700 is an abundant number, since it is smaller than the sum of its proper divisors (175285284).

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

85364700 is a wasteful number, since it uses less digits than its factorization.

85364700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 85364700 is about 9239.3019216822. The cubic root of 85364700 is about 440.3109028546.

The spelling of 85364700 in words is "eighty-five million, three hundred sixty-four thousand, seven hundred".