48121680 has 160 divisors (see below), whose sum is σ = 160525440. Its totient is φ = 11888640.

The previous prime is 48121669. The next prime is 48121693. The reversal of 48121680 is 8612184.

48121680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 278074 + ... + 278246.

It is an arithmetic number, because the mean of its divisors is an integer number (1003284).

Almost surely, 2^48121680 is an apocalyptic number.

48121680 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 48121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262720).

48121680 is an abundant number, since it is smaller than the sum of its proper divisors (112403760).

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

48121680 is a wasteful number, since it uses less digits than its factorization.

48121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 48121680 is about 6936.9791696386. The cubic root of 48121680 is about 363.7309528175.

The spelling of 48121680 in words is "forty-eight million, one hundred twenty-one thousand, six hundred eighty".