47589120 has 288 divisors, whose sum is σ = 181016640. Its totient is φ = 11943936.

The previous prime is 47589107. The next prime is 47589121. The reversal of 47589120 is 2198574.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47589121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799352 + ... + 2799368.

It is an arithmetic number, because the mean of its divisors is an integer number (628530).

Almost surely, 2^47589120 is an apocalyptic number.

47589120 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 47589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508320).

47589120 is an abundant number, since it is smaller than the sum of its proper divisors (133427520).

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

47589120 is an frugal number, since it uses more digits than its factorization.

47589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 47589120 is about 6898.4867905940. The cubic root of 47589120 is about 362.3841754416.

The spelling of 47589120 in words is "forty-seven million, five hundred eighty-nine thousand, one hundred twenty".