85557024 has 216 divisors, whose sum is σ = 294997248. Its totient is φ = 23016960.

The previous prime is 85557013. The next prime is 85557029. The reversal of 85557024 is 42075558.

It is a happy number.

85557024 is a `hidden beast` number, since 85 + 5 + 570 + 2 + 4 = 666.

It is a super-3 number, since 3×85557024³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85557024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85557029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2312334 + ... + 2312370.

It is an arithmetic number, because the mean of its divisors is an integer number (1365728).

Almost surely, 2^85557024 is an apocalyptic number.

85557024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85557024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624).

85557024 is an abundant number, since it is smaller than the sum of its proper divisors (209440224).

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

85557024 is a wasteful number, since it uses less digits than its factorization.

85557024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 85557024 is about 9249.7039952638. The cubic root of 85557024 is about 440.6413237351.

The spelling of 85557024 in words is "eighty-five million, five hundred fifty-seven thousand, twenty-four".