967760496 has 120 divisors (see below), whose sum is σ = 2922201360. Its totient is φ = 297842688.

The previous prime is 967760471. The next prime is 967760501. The reversal of 967760496 is 694067769.

967760496 is a `hidden beast` number, since 96 + 7 + 7 + 60 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126015 + ... + 133473.

It is an arithmetic number, because the mean of its divisors is an integer number (24351678).

Almost surely, 2^967760496 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 967760496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461100680).

967760496 is an abundant number, since it is smaller than the sum of its proper divisors (1954440864).

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

967760496 is a wasteful number, since it uses less digits than its factorization.

967760496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 967760496 is about 31108.8491590415. The cubic root of 967760496 is about 989.1358973660.

It can be divided in two parts, 967760 and 496, that added together give a square (968256 = 984²).

The spelling of 967760496 in words is "nine hundred sixty-seven million, seven hundred sixty thousand, four hundred ninety-six".