48908160 has 192 divisors, whose sum is σ = 193171680. Its totient is φ = 11169792.

The previous prime is 48908159. The next prime is 48908177. The reversal of 48908160 is 6180984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×48908160² = 4784016229171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39714 + ... + 40926.

Almost surely, 2^48908160 is an apocalyptic number.

48908160 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 48908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96585840).

48908160 is an abundant number, since it is smaller than the sum of its proper divisors (144263520).

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

48908160 is a wasteful number, since it uses less digits than its factorization.

48908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 48908160 is about 6993.4369232874. The cubic root of 48908160 is about 365.7018085401.

The spelling of 48908160 in words is "forty-eight million, nine hundred eight thousand, one hundred sixty".