48668640 has 96 divisors (see below), whose sum is σ = 157108896. Its totient is φ = 12656640.

The previous prime is 48668639. The next prime is 48668651. The reversal of 48668640 is 4686684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 48668592 and 48668601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18444 + ... + 20916.

It is an arithmetic number, because the mean of its divisors is an integer number (1636551).

Almost surely, 2^48668640 is an apocalyptic number.

48668640 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 48668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78554448).

48668640 is an abundant number, since it is smaller than the sum of its proper divisors (108440256).

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

48668640 is a wasteful number, since it uses less digits than its factorization.

48668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 48668640 is about 6976.2912783226. The cubic root of 48668640 is about 365.1038423500.

The spelling of 48668640 in words is "forty-eight million, six hundred sixty-eight thousand, six hundred forty".