853008 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 262272.

The previous prime is 853007. The next prime is 853031. The reversal of 853008 is 800358.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (853007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60 + ... + 1307.

2⁸⁵³⁰⁰⁸ 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 853008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

853008 is an abundant number, since it is smaller than the sum of its proper divisors (1521840).

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

853008 is a wasteful number, since it uses less digits than its factorization.

853008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 853008 is about 923.5843220843. The cubic root of 853008 is about 94.8384326714.

Subtracting from 853008 its reverse (800358), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 853008 in words is "eight hundred fifty-three thousand, eight".