85939488 has 96 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 26956800.

The previous prime is 85939481. The next prime is 85939507. The reversal of 85939488 is 88493958.

It is a happy number.

85939488 is a `hidden beast` number, since 8 + 593 + 9 + 48 + 8 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (85939481) 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, 11763 + ... + 17613.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2^85939488 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 85939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

85939488 is an abundant number, since it is smaller than the sum of its proper divisors (179507232).

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

85939488 is a wasteful number, since it uses less digits than its factorization.

85939488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5873 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 85939488 is about 9270.3553329956. The cubic root of 85939488 is about 441.2969447174.

It can be divided in two parts, 8593 and 9488, that added together give a palindrome (18081).

The spelling of 85939488 in words is "eighty-five million, nine hundred thirty-nine thousand, four hundred eighty-eight".