967660992 has 168 divisors, whose sum is σ = 2945278336. Its totient is φ = 314834688.

The previous prime is 967660987. The next prime is 967661011. The reversal of 967660992 is 299066769.

It is a happy number.

967660992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668013 + ... + 669459.

Almost surely, 2^967660992 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 967660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472639168).

967660992 is an abundant number, since it is smaller than the sum of its proper divisors (1977617344).

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

967660992 is a wasteful number, since it uses less digits than its factorization.

967660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 967660992 is about 31107.2498302245. The cubic root of 967660992 is about 989.1019956062.

The spelling of 967660992 in words is "nine hundred sixty-seven million, six hundred sixty thousand, nine hundred ninety-two".