85565376 has 168 divisors, whose sum is σ = 273314160. Its totient is φ = 26237952.

The previous prime is 85565351. The next prime is 85565387. The reversal of 85565376 is 67356558.

85565376 is a `hidden beast` number, since 85 + 565 + 3 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 291886 + ... + 292178.

It is an arithmetic number, because the mean of its divisors is an integer number (1626870).

Almost surely, 2^85565376 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 85565376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136657080).

85565376 is an abundant number, since it is smaller than the sum of its proper divisors (187748784).

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

85565376 is a wasteful number, since it uses less digits than its factorization.

85565376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 85565376 is about 9250.1554581531. The cubic root of 85565376 is about 440.6556616056.

The spelling of 85565376 in words is "eighty-five million, five hundred sixty-five thousand, three hundred seventy-six".