85142320 has 40 divisors (see below), whose sum is σ = 206567136. Its totient is φ = 32575488.

The previous prime is 85142311. The next prime is 85142339. The reversal of 85142320 is 2324158.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 21297 + ... + 24976.

Almost surely, 2^85142320 is an apocalyptic number.

85142320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85142320 is an abundant number, since it is smaller than the sum of its proper divisors (121424816).

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

85142320 is a wasteful number, since it uses less digits than its factorization.

85142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46309 (or 46303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 85142320 is about 9227.2596148586. The cubic root of 85142320 is about 439.9282252070.

Adding to 85142320 its reverse (2324158), we get a palindrome (87466478).

The spelling of 85142320 in words is "eighty-five million, one hundred forty-two thousand, three hundred twenty".