948652560 has 120 divisors (see below), whose sum is σ = 3303955200. Its totient is φ = 252968832.

The previous prime is 948652519. The next prime is 948652571. The reversal of 948652560 is 65256849.

948652560 is a `hidden beast` number, since 9 + 4 + 86 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 4960 + ... + 43839.

It is an arithmetic number, because the mean of its divisors is an integer number (27532960).

Almost surely, 2^948652560 is an apocalyptic number.

948652560 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 948652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651977600).

948652560 is an abundant number, since it is smaller than the sum of its proper divisors (2355302640).

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

948652560 is a wasteful number, since it uses less digits than its factorization.

948652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48827 (or 48809 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 948652560 is about 30800.2038954290. The cubic root of 948652560 is about 982.5825814859.

The spelling of 948652560 in words is "nine hundred forty-eight million, six hundred fifty-two thousand, five hundred sixty".