85083840 has 168 divisors, whose sum is σ = 302410368. Its totient is φ = 21934080.

The previous prime is 85083839. The next prime is 85083853. The reversal of 85083840 is 4838058.

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 = 85083795 and 85083804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88804 + ... + 89756.

Almost surely, 2^85083840 is an apocalyptic number.

85083840 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 85083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205184).

85083840 is an abundant number, since it is smaller than the sum of its proper divisors (217326528).

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

85083840 is a wasteful number, since it uses less digits than its factorization.

85083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

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

The square root of 85083840 is about 9224.0901990386. The cubic root of 85083840 is about 439.8274805751.

The spelling of 85083840 in words is "eighty-five million, eighty-three thousand, eight hundred forty".