48632760 has 96 divisors (see below), whose sum is σ = 172439280. Its totient is φ = 11788800.

The previous prime is 48632737. The next prime is 48632777. The reversal of 48632760 is 6723684.

48632760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2181 + ... + 10100.

Almost surely, 2^48632760 is an apocalyptic number.

48632760 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 48632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219640).

48632760 is an abundant number, since it is smaller than the sum of its proper divisors (123806520).

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

48632760 is a wasteful number, since it uses less digits than its factorization.

48632760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 48632760 is about 6973.7192372507. The cubic root of 48632760 is about 365.0140984108.

The spelling of 48632760 in words is "forty-eight million, six hundred thirty-two thousand, seven hundred sixty".