967744648 has 64 divisors (see below), whose sum is σ = 2029834800. Its totient is φ = 429649920.

The previous prime is 967744643. The next prime is 967744663. The reversal of 967744648 is 846447769.

967744648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26604964 + 941139684 = 5158^2 + 30678^2 .

It is not an unprimeable number, because it can be changed into a prime (967744643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309718 + ... + 312826.

Almost surely, 2^967744648 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 967744648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014917400).

967744648 is an abundant number, since it is smaller than the sum of its proper divisors (1062090152).

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

967744648 is a wasteful number, since it uses less digits than its factorization.

967744648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 55.

The square root of 967744648 is about 31108.5944394793. The cubic root of 967744648 is about 989.1304979890.

The spelling of 967744648 in words is "nine hundred sixty-seven million, seven hundred forty-four thousand, six hundred forty-eight".