48055680 has 224 divisors, whose sum is σ = 173918160. Its totient is φ = 12690432.

The previous prime is 48055661. The next prime is 48055687. The reversal of 48055680 is 8655084.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48055687) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 466509 + ... + 466611.

Almost surely, 2^48055680 is an apocalyptic number.

48055680 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 48055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86959080).

48055680 is an abundant number, since it is smaller than the sum of its proper divisors (125862480).

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

48055680 is an equidigital number, since it uses as much as digits as its factorization.

48055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 48055680 is about 6932.2204235007. The cubic root of 48055680 is about 363.5645882580.

The spelling of 48055680 in words is "forty-eight million, fifty-five thousand, six hundred eighty".