947112768 has 252 divisors, whose sum is σ = 3297509280. Its totient is φ = 258660864.

The previous prime is 947112757. The next prime is 947112773. The reversal of 947112768 is 867211749.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648423 + ... + 649881.

Almost surely, 2^947112768 is an apocalyptic number.

947112768 is a gapful number since it is divisible by the number (98) 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 947112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648754640).

947112768 is an abundant number, since it is smaller than the sum of its proper divisors (2350396512).

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

947112768 is a wasteful number, since it uses less digits than its factorization.

947112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1494 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 947112768 is about 30775.1972861264. The cubic root of 947112768 is about 982.0506719165.

It can be divided in two parts, 94711 and 2768, that added together give a palindrome (97479).

The spelling of 947112768 in words is "nine hundred forty-seven million, one hundred twelve thousand, seven hundred sixty-eight".