967940512 has 96 divisors (see below), whose sum is σ = 2424643200. Its totient is φ = 377072640.

The previous prime is 967940437. The next prime is 967940527. The reversal of 967940512 is 215049769.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116728 + ... + 124744.

It is an arithmetic number, because the mean of its divisors is an integer number (25256700).

Almost surely, 2^967940512 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 967940512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212321600).

967940512 is an abundant number, since it is smaller than the sum of its proper divisors (1456702688).

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

967940512 is a wasteful number, since it uses less digits than its factorization.

967940512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 967940512 is about 31111.7423491517. The cubic root of 967940512 is about 989.1972242642.

The spelling of 967940512 in words is "nine hundred sixty-seven million, nine hundred forty thousand, five hundred twelve".