845679360 has 288 divisors, whose sum is σ = 2902152960. Its totient is φ = 209240064.

The previous prime is 845679343. The next prime is 845679383. The reversal of 845679360 is 63976548.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4888234 + ... + 4888406.

It is an arithmetic number, because the mean of its divisors is an integer number (10076920).

Almost surely, 2^845679360 is an apocalyptic number.

845679360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451076480).

845679360 is an abundant number, since it is smaller than the sum of its proper divisors (2056473600).

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

845679360 is a wasteful number, since it uses less digits than its factorization.

845679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 845679360 is about 29080.5667069952. The cubic root of 845679360 is about 945.6604883990.

The spelling of 845679360 in words is "eight hundred forty-five million, six hundred seventy-nine thousand, three hundred sixty".