48782160 has 120 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 11149056.

The previous prime is 48782159. The next prime is 48782191. The reversal of 48782160 is 6128784.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (1560416).

Almost surely, 2^48782160 is an apocalyptic number.

48782160 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 48782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

48782160 is an abundant number, since it is smaller than the sum of its proper divisors (138467760).

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

48782160 is a wasteful number, since it uses less digits than its factorization.

48782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9696 counting only the distinct ones).

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

The square root of 48782160 is about 6984.4226676226. The cubic root of 48782160 is about 365.3874911571.

The spelling of 48782160 in words is "forty-eight million, seven hundred eighty-two thousand, one hundred sixty".