853852608 has 168 divisors, whose sum is σ = 2961814752. Its totient is φ = 229588992.

The previous prime is 853852607. The next prime is 853852627. The reversal of 853852608 is 806258358.

It is a happy number.

853852608 is a `hidden beast` number, since 8 + 5 + 38 + 5 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853852607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62316 + ... + 74772.

Almost surely, 2^853852608 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 853852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480907376).

853852608 is an abundant number, since it is smaller than the sum of its proper divisors (2107962144).

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

853852608 is a wasteful number, since it uses less digits than its factorization.

853852608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12499 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 853852608 is about 29220.7564583807. The cubic root of 853852608 is about 948.6972384955.

The spelling of 853852608 in words is "eight hundred fifty-three million, eight hundred fifty-two thousand, six hundred eight".