967320432 has 240 divisors, whose sum is σ = 3047492448. Its totient is φ = 284497920.

The previous prime is 967320413. The next prime is 967320461. The reversal of 967320432 is 234023769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4910158 + ... + 4910354.

Almost surely, 2^967320432 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 967320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523746224).

967320432 is an abundant number, since it is smaller than the sum of its proper divisors (2080172016).

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

967320432 is a wasteful number, since it uses less digits than its factorization.

967320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 967320432 is about 31101.7753834086. The cubic root of 967320432 is about 988.9859466651.

The spelling of 967320432 in words is "nine hundred sixty-seven million, three hundred twenty thousand, four hundred thirty-two".