48640 has 40 divisors (see below), whose sum is σ = 122760. Its totient is φ = 18432.

The previous prime is 48623. The next prime is 48647. The reversal of 48640 is 4684.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2551 + ... + 2569.

It is an arithmetic number, because the mean of its divisors is an integer number (3069).

2⁴⁸⁶⁴⁰ is an apocalyptic number.

48640 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 48640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380).

48640 is an abundant number, since it is smaller than the sum of its proper divisors (74120).

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

48640 is an equidigital number, since it uses as much as digits as its factorization.

48640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48640 is about 220.5447800334. The cubic root of 48640 is about 36.5032210831.

Subtracting from 48640 its reverse (4684), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 48640 in words is "forty-eight thousand, six hundred forty".