947733696 has 560 divisors, whose sum is σ = 3614318400. Its totient is φ = 243855360.

The previous prime is 947733673. The next prime is 947733727. The reversal of 947733696 is 696337749.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

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 79 ways as a sum of consecutive naturals, for example, 23115436 + ... + 23115476.

It is an arithmetic number, because the mean of its divisors is an integer number (6454140).

Almost surely, 2^947733696 is an apocalyptic number.

947733696 is a gapful number since it is divisible by the number (96) 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 947733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807159200).

947733696 is an abundant number, since it is smaller than the sum of its proper divisors (2666584704).

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

947733696 is a wasteful number, since it uses less digits than its factorization.

947733696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 947733696 is about 30785.2837570161. The cubic root of 947733696 is about 982.2652361411.

The spelling of 947733696 in words is "nine hundred forty-seven million, seven hundred thirty-three thousand, six hundred ninety-six".