48620880 has 240 divisors, whose sum is σ = 203808384. Its totient is φ = 10091520.

The previous prime is 48620861. The next prime is 48620893. The reversal of 48620880 is 8802684.

48620880 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 (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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55002 + ... + 55878.

Almost surely, 2^48620880 is an apocalyptic number.

48620880 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 48620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101904192).

48620880 is an abundant number, since it is smaller than the sum of its proper divisors (155187504).

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

48620880 is a wasteful number, since it uses less digits than its factorization.

48620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48620880 is about 6972.8674159201. The cubic root of 48620880 is about 364.9843741356.

The spelling of 48620880 in words is "forty-eight million, six hundred twenty thousand, eight hundred eighty".