85339120 has 40 divisors (see below), whose sum is σ = 198987264. Its totient is φ = 34036992.

The previous prime is 85339103. The next prime is 85339129. The reversal of 85339120 is 2193358.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85339129) by changing a digit.

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, 30417 + ... + 33103.

Almost surely, 2^85339120 is an apocalyptic number.

85339120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85339120 is an abundant number, since it is smaller than the sum of its proper divisors (113648144).

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

85339120 is a wasteful number, since it uses less digits than its factorization.

85339120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 85339120 is about 9237.9175142453. The cubic root of 85339120 is about 440.2669179362.

The spelling of 85339120 in words is "eighty-five million, three hundred thirty-nine thousand, one hundred twenty".