85738176 has 168 divisors, whose sum is σ = 263499600. Its totient is φ = 27620352.

The previous prime is 85738129. The next prime is 85738183. The reversal of 85738176 is 67183758.

85738176 is a `hidden beast` number, since 8 + 573 + 8 + 1 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575350 + ... + 575498.

It is an arithmetic number, because the mean of its divisors is an integer number (1568450).

Almost surely, 2^85738176 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 85738176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131749800).

85738176 is an abundant number, since it is smaller than the sum of its proper divisors (177761424).

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

85738176 is a wasteful number, since it uses less digits than its factorization.

85738176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 85738176 is about 9259.4911307264. The cubic root of 85738176 is about 440.9520980873.

The spelling of 85738176 in words is "eighty-five million, seven hundred thirty-eight thousand, one hundred seventy-six".