48087680 has 64 divisors (see below), whose sum is σ = 115814880. Its totient is φ = 19092480.

The previous prime is 48087673. The next prime is 48087701. The reversal of 48087680 is 8678084.

48087680 = T₃₆₅ + T₃₆₆ + ... + T₆₉₅.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×48087680³ (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 145115 + ... + 145445.

Almost surely, 2^48087680 is an apocalyptic number.

48087680 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 48087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907440).

48087680 is an abundant number, since it is smaller than the sum of its proper divisors (67727200).

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

48087680 is a wasteful number, since it uses less digits than its factorization.

48087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 48087680 is about 6934.5281021855. The cubic root of 48087680 is about 363.6452688728.

The spelling of 48087680 in words is "forty-eight million, eighty-seven thousand, six hundred eighty".