85173840 has 60 divisors (see below), whose sum is σ = 286044564. Its totient is φ = 22712832.

The previous prime is 85173821. The next prime is 85173887. The reversal of 85173840 is 4837158.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 72386064 = 3576^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 85173795 and 85173804.

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, 58429 + ... + 59868.

Almost surely, 2^85173840 is an apocalyptic number.

85173840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85173840 is an abundant number, since it is smaller than the sum of its proper divisors (200870724).

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

85173840 is a wasteful number, since it uses less digits than its factorization.

85173840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118316 (or 118307 counting only the distinct ones).

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

The square root of 85173840 is about 9228.9674395352. The cubic root of 85173840 is about 439.9825061915.

It can be divided in two parts, 851 and 73840, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 85173840 in words is "eighty-five million, one hundred seventy-three thousand, eight hundred forty".