967913504 has 48 divisors (see below), whose sum is σ = 2009196000. Its totient is φ = 457726464.

The previous prime is 967913501. The next prime is 967913567. The reversal of 967913504 is 405319769.

It is not an unprimeable number, because it can be changed into a prime (967913501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568847 + ... + 570545.

It is an arithmetic number, because the mean of its divisors is an integer number (41858250).

Almost surely, 2^967913504 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 967913504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004598000).

967913504 is an abundant number, since it is smaller than the sum of its proper divisors (1041282496).

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

967913504 is a wasteful number, since it uses less digits than its factorization.

967913504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 967913504 is about 31111.3082977878. The cubic root of 967913504 is about 989.1880238066.

The spelling of 967913504 in words is "nine hundred sixty-seven million, nine hundred thirteen thousand, five hundred four".