85488 has 40 divisors (see below), whose sum is σ = 239568. Its totient is φ = 26112.

The previous prime is 85487. The next prime is 85513. The reversal of 85488 is 88458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85487) 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, 556 + ... + 692.

2⁸⁵⁴⁸⁸ 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 85488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119784).

85488 is an abundant number, since it is smaller than the sum of its proper divisors (154080).

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

85488 is a wasteful number, since it uses less digits than its factorization.

85488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 85488 is about 292.3833100572. The cubic root of 85488 is about 44.0522794563.

The spelling of 85488 in words is "eighty-five thousand, four hundred eighty-eight".