85980600 has 144 divisors (see below), whose sum is σ = 296785320. Its totient is φ = 22291200.

The previous prime is 85980581. The next prime is 85980623. The reversal of 85980600 is 608958.

85980600 is a `hidden beast` number, since 8 + 598 + 0 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 65955 + ... + 67245.

Almost surely, 2^85980600 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 85980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148392660).

85980600 is an abundant number, since it is smaller than the sum of its proper divisors (210804720).

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

85980600 is a wasteful number, since it uses less digits than its factorization.

85980600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85980600 is about 9272.5724586007. The cubic root of 85980600 is about 441.3673031682.

The spelling of 85980600 in words is "eighty-five million, nine hundred eighty thousand, six hundred".