48832560 has 120 divisors (see below), whose sum is σ = 187443360. Its totient is φ = 11160576.

The previous prime is 48832523. The next prime is 48832571. The reversal of 48832560 is 6523884.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196 + ... + 9884.

It is an arithmetic number, because the mean of its divisors is an integer number (1562028).

Almost surely, 2^48832560 is an apocalyptic number.

48832560 is a gapful number since it is divisible by the number (40) 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 48832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

48832560 is an abundant number, since it is smaller than the sum of its proper divisors (138610800).

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

48832560 is a wasteful number, since it uses less digits than its factorization.

48832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48832560 is about 6988.0297652486. The cubic root of 48832560 is about 365.5132829842.

The spelling of 48832560 in words is "forty-eight million, eight hundred thirty-two thousand, five hundred sixty".