48158160 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 11893248.

The previous prime is 48158147. The next prime is 48158171. The reversal of 48158160 is 6185184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268951 + ... + 269129.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^48158160 is an apocalyptic number.

48158160 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 48158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

48158160 is an abundant number, since it is smaller than the sum of its proper divisors (112545840).

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

48158160 is a wasteful number, since it uses less digits than its factorization.

48158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 48158160 is about 6939.6080580967. The cubic root of 48158160 is about 363.8228417791.

The spelling of 48158160 in words is "forty-eight million, one hundred fifty-eight thousand, one hundred sixty".