48573680 has 40 divisors (see below), whose sum is σ = 113709984. Its totient is φ = 19296000.

The previous prime is 48573673. The next prime is 48573691. The reversal of 48573680 is 8637584.

It is a happy number.

48573680 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 (40).

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 7 ways as a sum of consecutive naturals, for example, 10070 + ... + 14090.

Almost surely, 2^48573680 is an apocalyptic number.

48573680 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 48573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56854992).

48573680 is an abundant number, since it is smaller than the sum of its proper divisors (65136304).

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

48573680 is a wasteful number, since it uses less digits than its factorization.

48573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 48573680 is about 6969.4820467521. The cubic root of 48573680 is about 364.8662298316.

The spelling of 48573680 in words is "forty-eight million, five hundred seventy-three thousand, six hundred eighty".