85380840 has 72 divisors (see below), whose sum is σ = 278058690. Its totient is φ = 22721472.

The previous prime is 85380833. The next prime is 85380857. The reversal of 85380840 is 4808358.

It can be written as a sum of positive squares in only one way, i.e., 76842756 + 8538084 = 8766^2 + 2922^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 85380795 and 85380804.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175077 + ... + 175563.

Almost surely, 2^85380840 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 85380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139029345).

85380840 is an abundant number, since it is smaller than the sum of its proper divisors (192677850).

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

85380840 is a wasteful number, since it uses less digits than its factorization.

85380840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 497 counting only the distinct ones).

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

The square root of 85380840 is about 9240.1753230120. The cubic root of 85380840 is about 440.3386511321.

The spelling of 85380840 in words is "eighty-five million, three hundred eighty thousand, eight hundred forty".