47659120 has 40 divisors (see below), whose sum is σ = 112224960. Its totient is φ = 18819840.

The previous prime is 47659111. The next prime is 47659123. The reversal of 47659120 is 2195674.

47659120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47659123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2550 + ... + 10090.

It is an arithmetic number, because the mean of its divisors is an integer number (2805624).

Almost surely, 2^47659120 is an apocalyptic number.

47659120 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 47659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56112480).

47659120 is an abundant number, since it is smaller than the sum of its proper divisors (64565840).

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

47659120 is a wasteful number, since it uses less digits than its factorization.

47659120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 47659120 is about 6903.5585026854. The cubic root of 47659120 is about 362.5617683091.

The spelling of 47659120 in words is "forty-seven million, six hundred fifty-nine thousand, one hundred twenty".