948220560 has 720 divisors, whose sum is σ = 4166161920. Its totient is φ = 197406720.

The previous prime is 948220531. The next prime is 948220573. The reversal of 948220560 is 65022849.

It is a happy number.

948220560 is a `hidden beast` number, since 94 + 8 + 2 + 2 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30587745 + ... + 30587775.

It is an arithmetic number, because the mean of its divisors is an integer number (5786336).

Almost surely, 2^948220560 is an apocalyptic number.

948220560 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 948220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083080960).

948220560 is an abundant number, since it is smaller than the sum of its proper divisors (3217941360).

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

948220560 is a wasteful number, since it uses less digits than its factorization.

948220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 948220560 is about 30793.1901562667. The cubic root of 948220560 is about 982.4334084580.

The spelling of 948220560 in words is "nine hundred forty-eight million, two hundred twenty thousand, five hundred sixty".