48968960 has 72 divisors (see below), whose sum is σ = 119255136. Its totient is φ = 19261440.

The previous prime is 48968939. The next prime is 48968963. The reversal of 48968960 is 6986984.

It is a junction number, because it is equal to n+sod(n) for n = 48968899 and 48968908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48968963) 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 7 ways as a sum of consecutive naturals, for example, 85475 + ... + 86045.

Almost surely, 2^48968960 is an apocalyptic number.

48968960 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 48968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627568).

48968960 is an abundant number, since it is smaller than the sum of its proper divisors (70286176).

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

48968960 is an equidigital number, since it uses as much as digits as its factorization.

48968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 48968960 is about 6997.7825059086. The cubic root of 48968960 is about 365.8532860759.

The spelling of 48968960 in words is "forty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".