10048560 has 80 divisors (see below), whose sum is σ = 31471200. Its totient is φ = 2652160.

The previous prime is 10048543. The next prime is 10048573. The reversal of 10048560 is 6584001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10048560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35620 + ... + 35900.

It is an arithmetic number, because the mean of its divisors is an integer number (393390).

Almost surely, 2^10048560 is an apocalyptic number.

10048560 is a gapful number since it is divisible by the number (10) 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 10048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735600).

10048560 is an abundant number, since it is smaller than the sum of its proper divisors (21422640).

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

10048560 is a wasteful number, since it uses less digits than its factorization.

10048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10048560 is about 3169.9463717861. The cubic root of 10048560 is about 215.7916372034.

The spelling of 10048560 in words is "ten million, forty-eight thousand, five hundred sixty".