48168960 has 204 divisors, whose sum is σ = 179305128. Its totient is φ = 11010048.

The previous prime is 48168943. The next prime is 48168961. The reversal of 48168960 is 6986184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48168961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6881277 + ... + 6881283.

Almost surely, 2^48168960 is an apocalyptic number.

48168960 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 48168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89652564).

48168960 is an abundant number, since it is smaller than the sum of its proper divisors (131136168).

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

48168960 is an frugal number, since it uses more digits than its factorization.

48168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 48168960 is about 6940.3861564037. The cubic root of 48168960 is about 363.8500368450.

The spelling of 48168960 in words is "forty-eight million, one hundred sixty-eight thousand, nine hundred sixty".