48056160 has 96 divisors (see below), whose sum is σ = 154314720. Its totient is φ = 12566528.

The previous prime is 48056147. The next prime is 48056167. The reversal of 48056160 is 6165084.

48056160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48056167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24496 + ... + 26384.

It is an arithmetic number, because the mean of its divisors is an integer number (1607445).

Almost surely, 2^48056160 is an apocalyptic number.

48056160 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 48056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157360).

48056160 is an abundant number, since it is smaller than the sum of its proper divisors (106258560).

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

48056160 is a wasteful number, since it uses less digits than its factorization.

48056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48056160 is about 6932.2550443561. The cubic root of 48056160 is about 363.5657987318.

The spelling of 48056160 in words is "forty-eight million, fifty-six thousand, one hundred sixty".