48686880 has 96 divisors (see below), whose sum is σ = 167323968. Its totient is φ = 11801600.

The previous prime is 48686821. The next prime is 48686881. The reversal of 48686880 is 8868684.

48686880 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48686881) 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 15 ways as a sum of consecutive naturals, for example, 670 + ... + 9890.

It is an arithmetic number, because the mean of its divisors is an integer number (1742958).

Almost surely, 2^48686880 is an apocalyptic number.

48686880 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 48686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83661984).

48686880 is an abundant number, since it is smaller than the sum of its proper divisors (118637088).

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

48686880 is a wasteful number, since it uses less digits than its factorization.

48686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 48686880 is about 6977.5984407244. The cubic root of 48686880 is about 365.1494477769.

The spelling of 48686880 in words is "forty-eight million, six hundred eighty-six thousand, eight hundred eighty".