967549968 has 640 divisors, whose sum is σ = 3856896000. Its totient is φ = 224501760.

The previous prime is 967549931. The next prime is 967549981. The reversal of 967549968 is 869945769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (29393280) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16399123 + ... + 16399181.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2^967549968 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 967549968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928448000).

967549968 is an abundant number, since it is smaller than the sum of its proper divisors (2889346032).

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

967549968 is a wasteful number, since it uses less digits than its factorization.

967549968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 967549968 is about 31105.4652432655. The cubic root of 967549968 is about 989.0641661525.

The spelling of 967549968 in words is "nine hundred sixty-seven million, five hundred forty-nine thousand, nine hundred sixty-eight".