967382416 has 360 divisors, whose sum is σ = 2835304640. Its totient is φ = 310210560.

The previous prime is 967382393. The next prime is 967382419. The reversal of 967382416 is 614283769.

It is not an unprimeable number, because it can be changed into a prime (967382419) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 50914855 + ... + 50914873.

Almost surely, 2^967382416 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 967382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417652320).

967382416 is an abundant number, since it is smaller than the sum of its proper divisors (1867922224).

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

967382416 is a wasteful number, since it uses less digits than its factorization.

967382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 967382416 is about 31102.7718378925. The cubic root of 967382416 is about 989.0070703085.

It can be divided in two parts, 967 and 382416, that added together give a palindrome (383383).

The spelling of 967382416 in words is "nine hundred sixty-seven million, three hundred eighty-two thousand, four hundred sixteen".