85288120 has 64 divisors (see below), whose sum is σ = 196485120. Its totient is φ = 33312384.

The previous prime is 85288103. The next prime is 85288121. The reversal of 85288120 is 2188258.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85288121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523159 + ... + 523321.

It is an arithmetic number, because the mean of its divisors is an integer number (3070080).

Almost surely, 2^85288120 is an apocalyptic number.

It is an amenable number.

85288120 is an abundant number, since it is smaller than the sum of its proper divisors (111197000).

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

85288120 is a wasteful number, since it uses less digits than its factorization.

85288120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 85288120 is about 9235.1567393304. The cubic root of 85288120 is about 440.1791969817.

The spelling of 85288120 in words is "eighty-five million, two hundred eighty-eight thousand, one hundred twenty".