947286648 has 576 divisors, whose sum is σ = 3726777600. Its totient is φ = 209848320.

The previous prime is 947286643. The next prime is 947286701. The reversal of 947286648 is 846682749.

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

Its product of digits (4644864) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 947286594 and 947286603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947286643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41186365 + ... + 41186387.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2^947286648 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 947286648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863388800).

947286648 is an abundant number, since it is smaller than the sum of its proper divisors (2779490952).

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

947286648 is a wasteful number, since it uses less digits than its factorization.

947286648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 947286648 is about 30778.0221586768. The cubic root of 947286648 is about 982.1107663170.

The spelling of 947286648 in words is "nine hundred forty-seven million, two hundred eighty-six thousand, six hundred forty-eight".