85233120 has 96 divisors (see below), whose sum is σ = 306851328. Its totient is φ = 19481088.

The previous prime is 85233079. The next prime is 85233131. The reversal of 85233120 is 2133258.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9324 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (3196368).

Almost surely, 2^85233120 is an apocalyptic number.

85233120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85233120 is an abundant number, since it is smaller than the sum of its proper divisors (221618208).

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

85233120 is a wasteful number, since it uses less digits than its factorization.

85233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25392 (or 25384 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 85233120 is about 9232.1785078063. The cubic root of 85233120 is about 440.0845567521.

Adding to 85233120 its reverse (2133258), we get a palindrome (87366378).

The spelling of 85233120 in words is "eighty-five million, two hundred thirty-three thousand, one hundred twenty".