48160 has 48 divisors (see below), whose sum is σ = 133056. Its totient is φ = 16128.

The previous prime is 48157. The next prime is 48163. The reversal of 48160 is 6184.

48160 = T₄₁ + T₄₂ + ... + T₇₀.

It is an interprime number because it is at equal distance from previous prime (48157) and next prime (48163).

It is not an unprimeable number, because it can be changed into a prime (48163) 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, 1099 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2⁴⁸¹⁶⁰ is an apocalyptic number.

48160 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 48160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

48160 is an abundant number, since it is smaller than the sum of its proper divisors (84896).

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

48160 is a wasteful number, since it uses less digits than its factorization.

48160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 48160 is about 219.4538675895. The cubic root of 48160 is about 36.3827475300.

It can be divided in two parts, 4 and 8160, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 48160 in words is "forty-eight thousand, one hundred sixty".