85040832 has 112 divisors (see below), whose sum is σ = 234708192. Its totient is φ = 27156480.

The previous prime is 85040803. The next prime is 85040861. The reversal of 85040832 is 23804058.

It is an interprime number because it is at equal distance from previous prime (85040803) and next prime (85040861).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 85040832.

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 15 ways as a sum of consecutive naturals, for example, 620668 + ... + 620804.

Almost surely, 2^85040832 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 85040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117354096).

85040832 is an abundant number, since it is smaller than the sum of its proper divisors (149667360).

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

85040832 is a wasteful number, since it uses less digits than its factorization.

85040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85040832 is about 9221.7586175306. The cubic root of 85040832 is about 439.7533603959.

The spelling of 85040832 in words is "eighty-five million, forty thousand, eight hundred thirty-two".