85633120 has 24 divisors (see below), whose sum is σ = 202308624. Its totient is φ = 34253184.

The previous prime is 85633109. The next prime is 85633127. The reversal of 85633120 is 2133658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85633127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267444 + ... + 267763.

It is an arithmetic number, because the mean of its divisors is an integer number (8429526).

Almost surely, 2^85633120 is an apocalyptic number.

85633120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85633120 is an abundant number, since it is smaller than the sum of its proper divisors (116675504).

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

85633120 is a wasteful number, since it uses less digits than its factorization.

85633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535222 (or 535214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 85633120 is about 9253.8165099596. The cubic root of 85633120 is about 440.7719232053.

Adding to 85633120 its reverse (2133658), we get a palindrome (87766778).

The spelling of 85633120 in words is "eighty-five million, six hundred thirty-three thousand, one hundred twenty".