85803840 has 112 divisors (see below), whose sum is σ = 302727360. Its totient is φ = 22878720.

The previous prime is 85803827. The next prime is 85803847. The reversal of 85803840 is 4830858.

85803840 is a `hidden beast` number, since 8 + 580 + 38 + 40 = 666.

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 = 85803795 and 85803804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85803847) 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, 3675 + ... + 13605.

Almost surely, 2^85803840 is an apocalyptic number.

85803840 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 85803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151363680).

85803840 is an abundant number, since it is smaller than the sum of its proper divisors (216923520).

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

85803840 is a wasteful number, since it uses less digits than its factorization.

85803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9941 counting only the distinct ones).

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

The square root of 85803840 is about 9263.0362192966. The cubic root of 85803840 is about 441.0646395139.

The spelling of 85803840 in words is "eighty-five million, eight hundred three thousand, eight hundred forty".