853621272 has 192 divisors, whose sum is σ = 2841246720. Its totient is φ = 225967104.

The previous prime is 853621259. The next prime is 853621273. The reversal of 853621272 is 272126358.

853621272 is a `hidden beast` number, since 8 + 5 + 3 + 621 + 27 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853621273) 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, 573313 + ... + 574799.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 2^853621272 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 853621272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360).

853621272 is an abundant number, since it is smaller than the sum of its proper divisors (1987625448).

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

853621272 is a wasteful number, since it uses less digits than its factorization.

853621272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1583 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 853621272 is about 29216.7977711453. The cubic root of 853621272 is about 948.6115532747.

The spelling of 853621272 in words is "eight hundred fifty-three million, six hundred twenty-one thousand, two hundred seventy-two".