47599120 has 20 divisors (see below), whose sum is σ = 110668140. Its totient is φ = 19039616.

The previous prime is 47599091. The next prime is 47599147. The reversal of 47599120 is 2199574.

It can be written as a sum of positive squares in 2 ways, for example, as 29246464 + 18352656 = 5408^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 47599120.

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 3 ways as a sum of consecutive naturals, for example, 297415 + ... + 297574.

It is an arithmetic number, because the mean of its divisors is an integer number (5533407).

Almost surely, 2^47599120 is an apocalyptic number.

47599120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47599120 is an abundant number, since it is smaller than the sum of its proper divisors (63069020).

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

47599120 is a wasteful number, since it uses less digits than its factorization.

47599120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595002 (or 594996 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 47599120 is about 6899.2115491555. The cubic root of 47599120 is about 362.4095565088.

The spelling of 47599120 in words is "forty-seven million, five hundred ninety-nine thousand, one hundred twenty".