48059680 has 48 divisors (see below), whose sum is σ = 120226680. Its totient is φ = 18092032.

The previous prime is 48059677. The next prime is 48059701. The reversal of 48059680 is 8695084.

It can be written as a sum of positive squares in 4 ways, for example, as 37896336 + 10163344 = 6156^2 + 3188^2 .

It is a super-3 number, since 3×48059680³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6115 + ... + 11554.

Almost surely, 2^48059680 is an apocalyptic number.

48059680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48059680 is an abundant number, since it is smaller than the sum of its proper divisors (72167000).

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

48059680 is a wasteful number, since it uses less digits than its factorization.

48059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701 (or 17693 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 48059680 is about 6932.5089253459. The cubic root of 48059680 is about 363.5746752932.

It can be divided in two parts, 4805 and 9680, that multiplied together give a square (46512400 = 6820²).

The spelling of 48059680 in words is "forty-eight million, fifty-nine thousand, six hundred eighty".