847723968 has 336 divisors, whose sum is σ = 3106521600. Its totient is φ = 223202304.

The previous prime is 847723967. The next prime is 847723979. The reversal of 847723968 is 869327748.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (847723963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414933 + ... + 1415531.

It is an arithmetic number, because the mean of its divisors is an integer number (9245600).

Almost surely, 2^847723968 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 847723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553260800).

847723968 is an abundant number, since it is smaller than the sum of its proper divisors (2258797632).

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

847723968 is a wasteful number, since it uses less digits than its factorization.

847723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 847723968 is about 29115.6996824737. The cubic root of 847723968 is about 946.4219861810.

The spelling of 847723968 in words is "eight hundred forty-seven million, seven hundred twenty-three thousand, nine hundred sixty-eight".