853665552 has 60 divisors (see below), whose sum is σ = 2407941120. Its totient is φ = 282308544.

The previous prime is 853665521. The next prime is 853665563. The reversal of 853665552 is 255566358.

853665552 is a `hidden beast` number, since 8 + 5 + 36 + 65 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 853665498 and 853665507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5052 + ... + 41627.

It is an arithmetic number, because the mean of its divisors is an integer number (40132352).

Almost surely, 2^853665552 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 853665552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203970560).

853665552 is an abundant number, since it is smaller than the sum of its proper divisors (1554275568).

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

853665552 is a wasteful number, since it uses less digits than its factorization.

853665552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46820 (or 46811 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 853665552 is about 29217.5555445694. Note that the first 4 decimals coincide. The cubic root of 853665552 is about 948.6279554719.

It can be divided in two parts, 8536 and 65552, that added together give a cube (74088 = 42³).

The spelling of 853665552 in words is "eight hundred fifty-three million, six hundred sixty-five thousand, five hundred fifty-two".