48261120 has 96 divisors (see below), whose sum is σ = 154496160. Its totient is φ = 12861440.

The previous prime is 48261119. The next prime is 48261131. The reversal of 48261120 is 2116284.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29935 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (1609335).

Almost surely, 2^48261120 is an apocalyptic number.

48261120 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 48261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248080).

48261120 is an abundant number, since it is smaller than the sum of its proper divisors (106235040).

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

48261120 is a wasteful number, since it uses less digits than its factorization.

48261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48261120 is about 6947.0223837267. The cubic root of 48261120 is about 364.0819362302.

The spelling of 48261120 in words is "forty-eight million, two hundred sixty-one thousand, one hundred twenty".