85755488 has 96 divisors (see below), whose sum is σ = 212385600. Its totient is φ = 33868800.

The previous prime is 85755457. The next prime is 85755491. The reversal of 85755488 is 88455758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142388 + ... + 142988.

It is an arithmetic number, because the mean of its divisors is an integer number (2212350).

Almost surely, 2^85755488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85755488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106192800).

85755488 is an abundant number, since it is smaller than the sum of its proper divisors (126630112).

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

85755488 is a wasteful number, since it uses less digits than its factorization.

85755488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its digits is 1792000, while the sum is 50.

The square root of 85755488 is about 9260.4259081319. The cubic root of 85755488 is about 440.9817746730.

It can be divided in two parts, 8575 and 5488, that multiplied together give a square (47059600 = 6860²).

The spelling of 85755488 in words is "eighty-five million, seven hundred fifty-five thousand, four hundred eighty-eight".