48635984 has 40 divisors (see below), whose sum is σ = 99100800. Its totient is φ = 23078528.

The previous prime is 48635981. The next prime is 48635999. The reversal of 48635984 is 48953684.

It is a super-3 number, since 3×48635984³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48635981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54389 + ... + 55275.

It is an arithmetic number, because the mean of its divisors is an integer number (2477520).

Almost surely, 2^48635984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48635984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550400).

48635984 is an abundant number, since it is smaller than the sum of its proper divisors (50464816).

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

48635984 is a wasteful number, since it uses less digits than its factorization.

48635984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 48635984 is about 6973.9503869758. The cubic root of 48635984 is about 365.0221641636.

It can be divided in two parts, 4863 and 5984, that multiplied together give a palindrome (29100192).

The spelling of 48635984 in words is "forty-eight million, six hundred thirty-five thousand, nine hundred eighty-four".