85381008 has 40 divisors (see below), whose sum is σ = 222604800. Its totient is φ = 28197504.

The previous prime is 85380973. The next prime is 85381063. The reversal of 85381008 is 80018358.

It is a self number, because there is not a number n which added to its sum of digits gives 85381008.

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 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (5565120).

Almost surely, 2^85381008 is an apocalyptic number.

It is an amenable number.

85381008 is an abundant number, since it is smaller than the sum of its proper divisors (137223792).

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

85381008 is a wasteful number, since it uses less digits than its factorization.

85381008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16439 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 85381008 is about 9240.1844137441. The cubic root of 85381008 is about 440.3389399433.

The spelling of 85381008 in words is "eighty-five million, three hundred eighty-one thousand, eight".