48516160 has 168 divisors, whose sum is σ = 145938240. Its totient is φ = 15037440.

The previous prime is 48516133. The next prime is 48516187. The reversal of 48516160 is 6161584.

It is an interprime number because it is at equal distance from previous prime (48516133) and next prime (48516187).

It is a super-2 number, since 2×48516160² = 4707635562291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270951 + ... + 271129.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^48516160 is an apocalyptic number.

48516160 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 48516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

48516160 is an abundant number, since it is smaller than the sum of its proper divisors (97422080).

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

48516160 is a wasteful number, since it uses less digits than its factorization.

48516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 48516160 is about 6965.3542623473. The cubic root of 48516160 is about 364.7221504649.

It can be divided in two parts, 4851 and 6160, that added together give a palindrome (11011).

The spelling of 48516160 in words is "forty-eight million, five hundred sixteen thousand, one hundred sixty".