853580040 has 128 divisors (see below), whose sum is σ = 2656281600. Its totient is φ = 219202560.

The previous prime is 853580027. The next prime is 853580041. The reversal of 853580040 is 40085358.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 853579983 and 853580010.

It is not an unprimeable number, because it can be changed into a prime (853580041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000254 + ... + 1001106.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2^853580040 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 853580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328140800).

853580040 is an abundant number, since it is smaller than the sum of its proper divisors (1802701560).

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

853580040 is a wasteful number, since it uses less digits than its factorization.

853580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 853580040 is about 29216.0921411471. The cubic root of 853580040 is about 948.5962796077.

The spelling of 853580040 in words is "eight hundred fifty-three million, five hundred eighty thousand, forty".