967968612 has 144 divisors (see below), whose sum is σ = 2766057840. Its totient is φ = 283336704.

The previous prime is 967968611. The next prime is 967968613. The reversal of 967968612 is 216869769.

It is an interprime number because it is at equal distance from previous prime (967968611) and next prime (967968613).

It can be written as a sum of positive squares in 8 ways, for example, as 12787776 + 955180836 = 3576^2 + 30906^2 .

It is not an unprimeable number, because it can be changed into a prime (967968611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990268 + ... + 991244.

It is an arithmetic number, because the mean of its divisors is an integer number (19208735).

Almost surely, 2^967968612 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 967968612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383028920).

967968612 is an abundant number, since it is smaller than the sum of its proper divisors (1798089228).

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

967968612 is a wasteful number, since it uses less digits than its factorization.

967968612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1097 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 967968612 is about 31112.1939438542. The cubic root of 967968612 is about 989.2067965374.

The spelling of 967968612 in words is "nine hundred sixty-seven million, nine hundred sixty-eight thousand, six hundred twelve".