85308840 has 96 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 21757824.

The previous prime is 85308833. The next prime is 85308857. The reversal of 85308840 is 4880358.

85308840 is a `hidden beast` number, since 8 + 530 + 88 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85308795 and 85308804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3129 + ... + 13431.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^85308840 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 85308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

85308840 is an abundant number, since it is smaller than the sum of its proper divisors (204027480).

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

85308840 is a wasteful number, since it uses less digits than its factorization.

85308840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85308840 is about 9236.2784713325. The cubic root of 85308840 is about 440.2148399860.

The spelling of 85308840 in words is "eighty-five million, three hundred eight thousand, eight hundred forty".