48618560 has 56 divisors (see below), whose sum is σ = 116723160. Its totient is φ = 19288064.

The previous prime is 48618523. The next prime is 48618569. The reversal of 48618560 is 6581684.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 48553024 = 256^2 + 6968^2 .

It is not an unprimeable number, because it can be changed into a prime (48618569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43286 + ... + 44394.

Almost surely, 2^48618560 is an apocalyptic number.

48618560 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 48618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58361580).

48618560 is an abundant number, since it is smaller than the sum of its proper divisors (68104600).

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

48618560 is a wasteful number, since it uses less digits than its factorization.

48618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 48618560 is about 6972.7010548280. The cubic root of 48618560 is about 364.9785688299.

The spelling of 48618560 in words is "forty-eight million, six hundred eighteen thousand, five hundred sixty".