48885120 has 320 divisors, whose sum is σ = 186611040. Its totient is φ = 12165120.

The previous prime is 48885077. The next prime is 48885127. The reversal of 48885120 is 2158884.

48885120 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48885127) 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 39 ways as a sum of consecutive naturals, for example, 1192300 + ... + 1192340.

Almost surely, 2^48885120 is an apocalyptic number.

48885120 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 48885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

48885120 is an abundant number, since it is smaller than the sum of its proper divisors (137725920).

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

48885120 is a wasteful number, since it uses less digits than its factorization.

48885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 48885120 is about 6991.7894705147. The cubic root of 48885120 is about 365.6443737269.

The spelling of 48885120 in words is "forty-eight million, eight hundred eighty-five thousand, one hundred twenty".