48336960 has 112 divisors (see below), whose sum is σ = 175418496. Its totient is φ = 11046912.

The previous prime is 48336919. The next prime is 48336971. The reversal of 48336960 is 6963384.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3124 + ... + 10316.

Almost surely, 2^48336960 is an apocalyptic number.

48336960 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 48336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87709248).

48336960 is an abundant number, since it is smaller than the sum of its proper divisors (127081536).

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

48336960 is a wasteful number, since it uses less digits than its factorization.

48336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 48336960 is about 6952.4786946815. The cubic root of 48336960 is about 364.2725487635.

The spelling of 48336960 in words is "forty-eight million, three hundred thirty-six thousand, nine hundred sixty".