948079664 has 80 divisors (see below), whose sum is σ = 2229768000. Its totient is φ = 381222912.

The previous prime is 948079633. The next prime is 948079667. The reversal of 948079664 is 466970849.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (948079667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854342 + ... + 855450.

It is an arithmetic number, because the mean of its divisors is an integer number (27872100).

Almost surely, 2^948079664 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 948079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114884000).

948079664 is an abundant number, since it is smaller than the sum of its proper divisors (1281688336).

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

948079664 is a wasteful number, since it uses less digits than its factorization.

948079664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 948079664 is about 30790.9022927228. The cubic root of 948079664 is about 982.3847461530.

The spelling of 948079664 in words is "nine hundred forty-eight million, seventy-nine thousand, six hundred sixty-four".