85588848 has 30 divisors (see below), whose sum is σ = 239530304. Its totient is φ = 28529568.

The previous prime is 85588843. The next prime is 85588849. The reversal of 85588848 is 84888558.

It is a happy number.

85588848 is a `hidden beast` number, since 8 + 558 + 8 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85588794 and 85588803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85588843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297040 + ... + 297327.

Almost surely, 2^85588848 is an apocalyptic number.

It is an amenable number.

85588848 is an abundant number, since it is smaller than the sum of its proper divisors (153941456).

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

85588848 is a wasteful number, since it uses less digits than its factorization.

85588848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594381 (or 594372 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 85588848 is about 9251.4241065903. The cubic root of 85588848 is about 440.6959509709.

It can be divided in two parts, 85588 and 848, that added together give a square (86436 = 294²).

The spelling of 85588848 in words is "eighty-five million, five hundred eighty-eight thousand, eight hundred forty-eight".