948880 has 40 divisors (see below), whose sum is σ = 2287800. Its totient is φ = 365568.

The previous prime is 948877. The next prime is 948887. The reversal of 948880 is 88849.

948880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 665856 = 532^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (948887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2116 + ... + 2524.

It is an arithmetic number, because the mean of its divisors is an integer number (57195).

2⁹⁴⁸⁸⁸⁰ 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 948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143900).

948880 is an abundant number, since it is smaller than the sum of its proper divisors (1338920).

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

948880 is a wasteful number, since it uses less digits than its factorization.

948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 948880 is about 974.1047171634. The cubic root of 948880 is about 98.2661100125.

The spelling of 948880 in words is "nine hundred forty-eight thousand, eight hundred eighty".