853604136 has 256 divisors, whose sum is σ = 3131136000. Its totient is φ = 208604160.

The previous prime is 853604131. The next prime is 853604149. The reversal of 853604136 is 631406358.

853604136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 853604136.

It is not an unprimeable number, because it can be changed into a prime (853604131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281235 + ... + 284253.

It is an arithmetic number, because the mean of its divisors is an integer number (12231000).

Almost surely, 2^853604136 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 853604136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565568000).

853604136 is an abundant number, since it is smaller than the sum of its proper divisors (2277531864).

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

853604136 is a wasteful number, since it uses less digits than its factorization.

853604136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 853604136 is about 29216.5045137162. The cubic root of 853604136 is about 948.6052056055.

The spelling of 853604136 in words is "eight hundred fifty-three million, six hundred four thousand, one hundred thirty-six".