967608432 has 240 divisors, whose sum is σ = 3249792000. Its totient is φ = 262918656.

The previous prime is 967608409. The next prime is 967608457. The reversal of 967608432 is 234806769.

967608432 is a `hidden beast` number, since 9 + 6 + 7 + 608 + 4 + 32 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2309119 + ... + 2309537.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^967608432 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 967608432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

967608432 is an abundant number, since it is smaller than the sum of its proper divisors (2282183568).

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

967608432 is a wasteful number, since it uses less digits than its factorization.

967608432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 967608432 is about 31106.4049996138. The cubic root of 967608432 is about 989.0840870815.

The spelling of 967608432 in words is "nine hundred sixty-seven million, six hundred eight thousand, four hundred thirty-two".