846387360 has 384 divisors, whose sum is σ = 3647669760. Its totient is φ = 178495488.

The previous prime is 846387343. The next prime is 846387401. The reversal of 846387360 is 63783648.

846387360 is a `hidden beast` number, since 8 + 4 + 638 + 7 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392044 + ... + 394196.

It is an arithmetic number, because the mean of its divisors is an integer number (9499140).

Almost surely, 2^846387360 is an apocalyptic number.

846387360 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 846387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823834880).

846387360 is an abundant number, since it is smaller than the sum of its proper divisors (2801282400).

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

846387360 is a wasteful number, since it uses less digits than its factorization.

846387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 846387360 is about 29092.7372380118. The cubic root of 846387360 is about 945.9243160789.

The spelling of 846387360 in words is "eight hundred forty-six million, three hundred eighty-seven thousand, three hundred sixty".