48168120 has 256 divisors, whose sum is σ = 194503680. Its totient is φ = 9216000.

The previous prime is 48168119. The next prime is 48168121. The reversal of 48168120 is 2186184.

It is an interprime number because it is at equal distance from previous prime (48168119) and next prime (48168121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48168121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119920 + ... + 120320.

It is an arithmetic number, because the mean of its divisors is an integer number (759780).

Almost surely, 2^48168120 is an apocalyptic number.

48168120 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 48168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97251840).

48168120 is an abundant number, since it is smaller than the sum of its proper divisors (146335560).

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

48168120 is a wasteful number, since it uses less digits than its factorization.

48168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 48168120 is about 6940.3256407751. The cubic root of 48168120 is about 363.8479218190.

The spelling of 48168120 in words is "forty-eight million, one hundred sixty-eight thousand, one hundred twenty".