948958560 has 288 divisors, whose sum is σ = 3566384640. Its totient is φ = 227865600.

The previous prime is 948958531. The next prime is 948958579. The reversal of 948958560 is 65859849.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 948958497 and 948958506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201545 + ... + 2201975.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^948958560 is an apocalyptic number.

948958560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

948958560 is an abundant number, since it is smaller than the sum of its proper divisors (2617426080).

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

948958560 is a wasteful number, since it uses less digits than its factorization.

948958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 948958560 is about 30805.1709944938. The cubic root of 948958560 is about 982.6882183158.

The spelling of 948958560 in words is "nine hundred forty-eight million, nine hundred fifty-eight thousand, five hundred sixty".