947856000 has 768 divisors, whose sum is σ = 4063288320. Its totient is φ = 193536000.

The previous prime is 947855977. The next prime is 947856061. The reversal of 947856000 is 658749.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 947856000.

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 95 ways as a sum of consecutive naturals, for example, 30575985 + ... + 30576015.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^947856000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

947856000 is an abundant number, since it is smaller than the sum of its proper divisors (3115432320).

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

947856000 is a wasteful number, since it uses less digits than its factorization.

947856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 947856000 is about 30787.2700965838. The cubic root of 947856000 is about 982.3074877429.

The spelling of 947856000 in words is "nine hundred forty-seven million, eight hundred fifty-six thousand".