847608960 has 256 divisors, whose sum is σ = 2996352000. Its totient is φ = 202076160.

The previous prime is 847608947. The next prime is 847608973. The reversal of 847608960 is 69806748.

It is an interprime number because it is at equal distance from previous prime (847608947) and next prime (847608973).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 1414741 + ... + 1415339.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^847608960 is an apocalyptic number.

847608960 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 847608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

847608960 is an abundant number, since it is smaller than the sum of its proper divisors (2148743040).

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

847608960 is a wasteful number, since it uses less digits than its factorization.

847608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 847608960 is about 29113.7245985463. The cubic root of 847608960 is about 946.3791848972.

The spelling of 847608960 in words is "eight hundred forty-seven million, six hundred eight thousand, nine hundred sixty".