85335840 has 144 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 21551616.

The previous prime is 85335791. The next prime is 85335841. The reversal of 85335840 is 4853358.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 85335795 and 85335804.

It is not an unprimeable number, because it can be changed into a prime (85335841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25801 + ... + 28919.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^85335840 is an apocalyptic number.

85335840 is a gapful number since it is divisible by the number (80) 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 85335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

85335840 is an abundant number, since it is smaller than the sum of its proper divisors (221297760).

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

85335840 is a wasteful number, since it uses less digits than its factorization.

85335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85335840 is about 9237.7399833509. The cubic root of 85335840 is about 440.2612773265.

The spelling of 85335840 in words is "eighty-five million, three hundred thirty-five thousand, eight hundred forty".