85083640 has 64 divisors (see below), whose sum is σ = 204003360. Its totient is φ = 31825920.

The previous prime is 85083637. The next prime is 85083641. The reversal of 85083640 is 4638058.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 85083596 and 85083605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85083641) 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, 143184 + ... + 143776.

Almost surely, 2^85083640 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 85083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102001680).

85083640 is an abundant number, since it is smaller than the sum of its proper divisors (118919720).

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

85083640 is a wasteful number, since it uses less digits than its factorization.

85083640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85083640 is about 9224.0793578546. The cubic root of 85083640 is about 439.8271359521.

The spelling of 85083640 in words is "eighty-five million, eighty-three thousand, six hundred forty".