967707664 has 135 divisors (see below), whose sum is σ = 2421318333. Its totient is φ = 373296000.

The previous prime is 967707661. The next prime is 967707683. The reversal of 967707664 is 466707769.

The square root of 967707664 is 31108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 37945600 = 30492^2 + 6160^2 .

It is not an unprimeable number, because it can be changed into a prime (967707661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9581214 + ... + 9581314.

Almost surely, 2^967707664 is an apocalyptic number.

967707664 is the 31108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967707664

967707664 is an abundant number, since it is smaller than the sum of its proper divisors (1453610669).

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

967707664 is a wasteful number, since it uses less digits than its factorization.

967707664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The cubic root of 967707664 is about 989.1178973964.

The spelling of 967707664 in words is "nine hundred sixty-seven million, seven hundred seven thousand, six hundred sixty-four".