845709984 has 168 divisors, whose sum is σ = 2853516960. Its totient is φ = 241584768.

The previous prime is 845709973. The next prime is 845710003. The reversal of 845709984 is 489907548.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 845709984.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 160707 + ... + 165885.

It is an arithmetic number, because the mean of its divisors is an integer number (16985220).

Almost surely, 2^845709984 is an apocalyptic number.

845709984 is a gapful number since it is divisible by the number (84) 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 845709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426758480).

845709984 is an abundant number, since it is smaller than the sum of its proper divisors (2007806976).

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

845709984 is an equidigital number, since it uses as much as digits as its factorization.

845709984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 845709984 is about 29081.0932394228. The cubic root of 845709984 is about 945.6719031103.

The spelling of 845709984 in words is "eight hundred forty-five million, seven hundred nine thousand, nine hundred eighty-four".