48821760 has 240 divisors, whose sum is σ = 183207024. Its totient is φ = 11943936.

The previous prime is 48821741. The next prime is 48821771. The reversal of 48821760 is 6712884.

48821760 is a `hidden beast` number, since 488 + 2 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299439 + ... + 299601.

Almost surely, 2^48821760 is an apocalyptic number.

48821760 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 48821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603512).

48821760 is an abundant number, since it is smaller than the sum of its proper divisors (134385264).

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

48821760 is a wasteful number, since it uses less digits than its factorization.

48821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48821760 is about 6987.2569725179. The cubic root of 48821760 is about 365.4863348816.

The spelling of 48821760 in words is "forty-eight million, eight hundred twenty-one thousand, seven hundred sixty".