85164750 has 256 divisors, whose sum is σ = 273162240. Its totient is φ = 19440000.

The previous prime is 85164733. The next prime is 85164757. The reversal of 85164750 is 5746158.

85164750 is a `hidden beast` number, since 8 + 5 + 1 + 647 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85164757) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2301732 + ... + 2301768.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^85164750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85164750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136581120).

85164750 is an abundant number, since it is smaller than the sum of its proper divisors (187997490).

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

85164750 is a wasteful number, since it uses less digits than its factorization.

85164750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85164750 is about 9228.4749552675. The cubic root of 85164750 is about 439.9668535637.

The spelling of 85164750 in words is "eighty-five million, one hundred sixty-four thousand, seven hundred fifty".