852999616 has 112 divisors (see below), whose sum is σ = 2092732416. Its totient is φ = 336605184.

The previous prime is 852999607. The next prime is 852999647. The reversal of 852999616 is 616999258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×852999616² = 1455216689792294912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356761 + ... + 359143.

Almost surely, 2^852999616 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 852999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046366208).

852999616 is an abundant number, since it is smaller than the sum of its proper divisors (1239732800).

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

852999616 is a wasteful number, since it uses less digits than its factorization.

852999616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 55.

The square root of 852999616 is about 29206.1571590649. The cubic root of 852999616 is about 948.3812195602.

The spelling of 852999616 in words is "eight hundred fifty-two million, nine hundred ninety-nine thousand, six hundred sixteen".