948368820 has 192 divisors, whose sum is σ = 3135283200. Its totient is φ = 209707008.

The previous prime is 948368819. The next prime is 948368879. The reversal of 948368820 is 28863849.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 948368820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111956 + ... + 2112404.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^948368820 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 948368820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

948368820 is an abundant number, since it is smaller than the sum of its proper divisors (2186914380).

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

948368820 is a wasteful number, since it uses less digits than its factorization.

948368820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 948368820 is about 30795.5974126173. The cubic root of 948368820 is about 982.4846089179.

The spelling of 948368820 in words is "nine hundred forty-eight million, three hundred sixty-eight thousand, eight hundred twenty".