967487664 has 160 divisors (see below), whose sum is σ = 2987308800. Its totient is φ = 265927680.

The previous prime is 967487639. The next prime is 967487669. The reversal of 967487664 is 466784769.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (967487669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403782 + ... + 406170.

It is an arithmetic number, because the mean of its divisors is an integer number (18670680).

Almost surely, 2^967487664 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 967487664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493654400).

967487664 is an abundant number, since it is smaller than the sum of its proper divisors (2019821136).

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

967487664 is a wasteful number, since it uses less digits than its factorization.

967487664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 967487664 is about 31104.4637311110. The cubic root of 967487664 is about 989.0429359048.

The spelling of 967487664 in words is "nine hundred sixty-seven million, four hundred eighty-seven thousand, six hundred sixty-four".