853655040 has 480 divisors, whose sum is σ = 3472634880. Its totient is φ = 189775872.

The previous prime is 853655003. The next prime is 853655041. The reversal of 853655040 is 40556358.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 853654986 and 853655004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853655041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10805721 + ... + 10805799.

It is an arithmetic number, because the mean of its divisors is an integer number (7234656).

Almost surely, 2^853655040 is an apocalyptic number.

853655040 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 853655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736317440).

853655040 is an abundant number, since it is smaller than the sum of its proper divisors (2618979840).

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

853655040 is a wasteful number, since it uses less digits than its factorization.

853655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 853655040 is about 29217.3756521697. The cubic root of 853655040 is about 948.6240616683.

The spelling of 853655040 in words is "eight hundred fifty-three million, six hundred fifty-five thousand, forty".