853563672 has 192 divisors, whose sum is σ = 2683699200. Its totient is φ = 242922240.

The previous prime is 853563671. The next prime is 853563691. The reversal of 853563672 is 276365358.

853563672 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 636 + 7 + 2 = 666.

It is a super-4 number, since 4×853563672⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853563671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666729 + ... + 668007.

It is an arithmetic number, because the mean of its divisors is an integer number (13977600).

Almost surely, 2^853563672 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 853563672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341849600).

853563672 is an abundant number, since it is smaller than the sum of its proper divisors (1830135528).

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

853563672 is a wasteful number, since it uses less digits than its factorization.

853563672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 853563672 is about 29215.8120202058. The cubic root of 853563672 is about 948.5902162344.

The spelling of 853563672 in words is "eight hundred fifty-three million, five hundred sixty-three thousand, six hundred seventy-two".