48598560 has 72 divisors (see below), whose sum is σ = 165847500. Its totient is φ = 12959232.

The previous prime is 48598549. The next prime is 48598567. The reversal of 48598560 is 6589584.

48598560 is a `hidden beast` number, since 4 + 8 + 598 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46949904 + 1648656 = 6852^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (48598567) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15435 + ... + 18314.

Almost surely, 2^48598560 is an apocalyptic number.

48598560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48598560 is an abundant number, since it is smaller than the sum of its proper divisors (117248940).

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

48598560 is a wasteful number, since it uses less digits than its factorization.

48598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33770 (or 33759 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 48598560 is about 6971.2667428524. The cubic root of 48598560 is about 364.9285154310.

The spelling of 48598560 in words is "forty-eight million, five hundred ninety-eight thousand, five hundred sixty".