85170384 has 60 divisors (see below), whose sum is σ = 256699716. Its totient is φ = 26205696.

The previous prime is 85170377. The next prime is 85170427. The reversal of 85170384 is 48307158.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 71774784 = 3660^2 + 8472^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20877 + ... + 24620.

Almost surely, 2^85170384 is an apocalyptic number.

It is an amenable number.

85170384 is an abundant number, since it is smaller than the sum of its proper divisors (171529332).

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

85170384 is a wasteful number, since it uses less digits than its factorization.

85170384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45524 (or 45515 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85170384 is about 9228.7802010883. The cubic root of 85170384 is about 439.9765552246.

The spelling of 85170384 in words is "eighty-five million, one hundred seventy thousand, three hundred eighty-four".