85660920 has 192 divisors, whose sum is σ = 293436000. Its totient is φ = 21648384.

The previous prime is 85660903. The next prime is 85660921. The reversal of 85660920 is 2906658.

85660920 is a `hidden beast` number, since 8 + 566 + 0 + 92 + 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 not an unprimeable number, because it can be changed into a prime (85660921) 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 47 ways as a sum of consecutive naturals, for example, 785826 + ... + 785934.

Almost surely, 2^85660920 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 85660920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146718000).

85660920 is an abundant number, since it is smaller than the sum of its proper divisors (207775080).

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

85660920 is a wasteful number, since it uses less digits than its factorization.

85660920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85660920 is about 9255.3184710198. The cubic root of 85660920 is about 440.8196155535.

It can be divided in two parts, 856 and 60920, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 85660920 in words is "eighty-five million, six hundred sixty thousand, nine hundred twenty".