85205376 has 96 divisors (see below), whose sum is σ = 251940000. Its totient is φ = 27620352.

The previous prime is 85205359. The next prime is 85205389. The reversal of 85205376 is 67350258.

85205376 is a `hidden beast` number, since 85 + 205 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85205376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41625 + ... + 43623.

It is an arithmetic number, because the mean of its divisors is an integer number (2624375).

Almost surely, 2^85205376 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 85205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125970000).

85205376 is an abundant number, since it is smaller than the sum of its proper divisors (166734624).

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

85205376 is a wasteful number, since it uses less digits than its factorization.

85205376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85205376 is about 9230.6758149119. The cubic root of 85205376 is about 440.0368013296.

The spelling of 85205376 in words is "eighty-five million, two hundred five thousand, three hundred seventy-six".