85120038 has 32 divisors (see below), whose sum is σ = 199113600. Its totient is φ = 26879688.

The previous prime is 85119997. The next prime is 85120039. The reversal of 85120038 is 83002158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85119993 and 85120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85120039) by changing a digit.

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, 40456 + ... + 42507.

It is an arithmetic number, because the mean of its divisors is an integer number (6222300).

Almost surely, 2^85120038 is an apocalyptic number.

85120038 is an abundant number, since it is smaller than the sum of its proper divisors (113993562).

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

85120038 is a wasteful number, since it uses less digits than its factorization.

85120038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82993 (or 82987 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85120038 is about 9226.0521351226. The cubic root of 85120038 is about 439.8898450143.

The spelling of 85120038 in words is "eighty-five million, one hundred twenty thousand, thirty-eight".