8147968 has 44 divisors (see below), whose sum is σ = 16662580. Its totient is φ = 3981312.

The previous prime is 8147963. The next prime is 8147977. The reversal of 8147968 is 8697418.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 2985984 = 2272^2 + 1728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74698 + ... + 74806.

It is an arithmetic number, because the mean of its divisors is an integer number (378695).

Almost surely, 2^8147968 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 8147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331290).

8147968 is an abundant number, since it is smaller than the sum of its proper divisors (8514612).

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

8147968 is a wasteful number, since it uses less digits than its factorization.

8147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 8147968 is about 2854.4645732606. The cubic root of 8147968 is about 201.2255415668.

It can be divided in two parts, 8 and 147968, that multiplied together give a square (1183744 = 1088²).

The spelling of 8147968 in words is "eight million, one hundred forty-seven thousand, nine hundred sixty-eight".