948664720 has 80 divisors (see below), whose sum is σ = 2246360688. Its totient is φ = 372531200.

The previous prime is 948664669. The next prime is 948664747. The reversal of 948664720 is 27466849.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 235561104 + 713103616 = 15348^2 + 26704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 1106532 + ... + 1107388.

Almost surely, 2^948664720 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 948664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123180344).

948664720 is an abundant number, since it is smaller than the sum of its proper divisors (1297695968).

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

948664720 is a wasteful number, since it uses less digits than its factorization.

948664720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 948664720 is about 30800.4012960870. The cubic root of 948664720 is about 982.5867797750.

The spelling of 948664720 in words is "nine hundred forty-eight million, six hundred sixty-four thousand, seven hundred twenty".