538089120 has 288 divisors, whose sum is σ = 1967172480. Its totient is φ = 133539840.

The previous prime is 538089109. The next prime is 538089121. The reversal of 538089120 is 21980835.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (538089121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942422 + ... + 1942698.

It is an arithmetic number, because the mean of its divisors is an integer number (6830460).

Almost surely, 2^538089120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983586240).

538089120 is an abundant number, since it is smaller than the sum of its proper divisors (1429083360).

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

538089120 is a wasteful number, since it uses less digits than its factorization.

538089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 538089120 is about 23196.7480479484. The cubic root of 538089120 is about 813.3636078193.

The spelling of 538089120 in words is "five hundred thirty-eight million, eighty-nine thousand, one hundred twenty".