948883560 has 128 divisors (see below), whose sum is σ = 3172867200. Its totient is φ = 225607680.

The previous prime is 948883553. The next prime is 948883589. The reversal of 948883560 is 65388849.

948883560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26520 + ... + 51000.

It is an arithmetic number, because the mean of its divisors is an integer number (24788025).

Almost surely, 2^948883560 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 948883560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586433600).

948883560 is an abundant number, since it is smaller than the sum of its proper divisors (2223983640).

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

948883560 is a wasteful number, since it uses less digits than its factorization.

948883560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24531 (or 24527 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 948883560 is about 30803.9536423492. The cubic root of 948883560 is about 982.6623290370.

The spelling of 948883560 in words is "nine hundred forty-eight million, eight hundred eighty-three thousand, five hundred sixty".