85035120 has 40 divisors (see below), whose sum is σ = 263609616. Its totient is φ = 22675968.

The previous prime is 85035101. The next prime is 85035121. The reversal of 85035120 is 2153058.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176917 + ... + 177396.

Almost surely, 2^85035120 is an apocalyptic number.

85035120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85035120 is an abundant number, since it is smaller than the sum of its proper divisors (178574496).

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

85035120 is a wasteful number, since it uses less digits than its factorization.

85035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354329 (or 354323 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85035120 is about 9221.4489100141. The cubic root of 85035120 is about 439.7435144299.

Adding to 85035120 its reverse (2153058), we get a palindrome (87188178).

The spelling of 85035120 in words is "eighty-five million, thirty-five thousand, one hundred twenty".