947388960 has 432 divisors, whose sum is σ = 3897706176. Its totient is φ = 212875776.

The previous prime is 947388941. The next prime is 947388961. The reversal of 947388960 is 69883749.

947388960 is a `hidden beast` number, since 9 + 473 + 88 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 947388897 and 947388906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947388961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16057411 + ... + 16057469.

It is an arithmetic number, because the mean of its divisors is an integer number (9022468).

Almost surely, 2^947388960 is an apocalyptic number.

947388960 is a gapful number since it is divisible by the number (90) 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 947388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948853088).

947388960 is an abundant number, since it is smaller than the sum of its proper divisors (2950317216).

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

947388960 is an equidigital number, since it uses as much as digits as its factorization.

947388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 947388960 is about 30779.6842089064. The cubic root of 947388960 is about 982.1461227742.

The spelling of 947388960 in words is "nine hundred forty-seven million, three hundred eighty-eight thousand, nine hundred sixty".