85833440 has 96 divisors (see below), whose sum is σ = 252854784. Its totient is φ = 26749440.

The previous prime is 85833439. The next prime is 85833443. The reversal of 85833440 is 4433858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85833440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85833443) 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, 8837 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (2633904).

Almost surely, 2^85833440 is an apocalyptic number.

85833440 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 85833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126427392).

85833440 is an abundant number, since it is smaller than the sum of its proper divisors (167021344).

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

85833440 is a wasteful number, since it uses less digits than its factorization.

85833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 85833440 is about 9264.6338297852. The cubic root of 85833440 is about 441.1153521329.

The spelling of 85833440 in words is "eighty-five million, eight hundred thirty-three thousand, four hundred forty".