967516480 has 224 divisors, whose sum is σ = 2809036800. Its totient is φ = 310044672.

The previous prime is 967516477. The next prime is 967516489. The reversal of 967516480 is 84615769.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 967516480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967516489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5405031 + ... + 5405209.

Almost surely, 2^967516480 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 967516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404518400).

967516480 is an abundant number, since it is smaller than the sum of its proper divisors (1841520320).

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

967516480 is a wasteful number, since it uses less digits than its factorization.

967516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 967516480 is about 31104.9269409205. The cubic root of 967516480 is about 989.0527551439.

The spelling of 967516480 in words is "nine hundred sixty-seven million, five hundred sixteen thousand, four hundred eighty".