947314368 has 672 divisors, whose sum is σ = 3834335232. Its totient is φ = 215654400.

The previous prime is 947314343. The next prime is 947314373. The reversal of 947314368 is 863413749.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17873830 + ... + 17873882.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^947314368 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 947314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917167616).

947314368 is an abundant number, since it is smaller than the sum of its proper divisors (2887020864).

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

947314368 is a wasteful number, since it uses less digits than its factorization.

947314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 947314368 is about 30778.4724767166. The cubic root of 947314368 is about 982.1203459041.

It can be divided in two parts, 94731 and 4368, that added together give a palindrome (99099).

The spelling of 947314368 in words is "nine hundred forty-seven million, three hundred fourteen thousand, three hundred sixty-eight".