845838960 has 80 divisors (see below), whose sum is σ = 2760120960. Its totient is φ = 213684480.

The previous prime is 845838947. The next prime is 845838989. The reversal of 845838960 is 69838548.

845838960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88186 + ... + 97305.

It is an arithmetic number, because the mean of its divisors is an integer number (34501512).

Almost surely, 2^845838960 is an apocalyptic number.

845838960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845838960 is an abundant number, since it is smaller than the sum of its proper divisors (1914282000).

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

845838960 is a wasteful number, since it uses less digits than its factorization.

845838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185526 (or 185520 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 845838960 is about 29083.3106781192. The cubic root of 845838960 is about 945.7199742702.

The spelling of 845838960 in words is "eight hundred forty-five million, eight hundred thirty-eight thousand, nine hundred sixty".