48084080 has 80 divisors (see below), whose sum is σ = 123393888. Its totient is φ = 17280000.

The previous prime is 48084037. The next prime is 48084083. The reversal of 48084080 is 8048084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×48084080³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48084083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88610 + ... + 89150.

Almost surely, 2^48084080 is an apocalyptic number.

48084080 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 48084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61696944).

48084080 is an abundant number, since it is smaller than the sum of its proper divisors (75309808).

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

48084080 is a wasteful number, since it uses less digits than its factorization.

48084080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 48084080 is about 6934.2685266724. The cubic root of 48084080 is about 363.6361940908.

It can be divided in two parts, 4808 and 4080, that added together give a palindrome (8888).

The spelling of 48084080 in words is "forty-eight million, eighty-four thousand, eighty".