48106080 has 144 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 11658240.

The previous prime is 48106049. The next prime is 48106117. The reversal of 48106080 is 8060184.

48106080 is a `hidden beast` number, since 48 + 10 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48106080³ (a number of 24 digits) contains 333 as substring.

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, 14322 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^48106080 is an apocalyptic number.

48106080 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 48106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

48106080 is an abundant number, since it is smaller than the sum of its proper divisors (131038704).

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

48106080 is a wasteful number, since it uses less digits than its factorization.

48106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48106080 is about 6935.8546697577. The cubic root of 48106080 is about 363.6916440200.

The spelling of 48106080 in words is "forty-eight million, one hundred six thousand, eighty".