967048704 has 120 divisors (see below), whose sum is σ = 2839070520. Its totient is φ = 316796928.

The previous prime is 967048697. The next prime is 967048741. The reversal of 967048704 is 407840769.

967048704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 967048704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270094 + ... + 273650.

It is an arithmetic number, because the mean of its divisors is an integer number (23658921).

Almost surely, 2^967048704 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 967048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419535260).

967048704 is an abundant number, since it is smaller than the sum of its proper divisors (1872021816).

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

967048704 is a wasteful number, since it uses less digits than its factorization.

967048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 967048704 is about 31097.4067085987. The cubic root of 967048704 is about 988.8933333208.

The spelling of 967048704 in words is "nine hundred sixty-seven million, forty-eight thousand, seven hundred four".