537881760 has 288 divisors, whose sum is σ = 2014346880. Its totient is φ = 129890304.

The previous prime is 537881741. The next prime is 537881791. The reversal of 537881760 is 67188735.

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 (45).

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 47 ways as a sum of consecutive naturals, for example, 1104237 + ... + 1104723.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^537881760 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 537881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007173440).

537881760 is an abundant number, since it is smaller than the sum of its proper divisors (1476465120).

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

537881760 is a wasteful number, since it uses less digits than its factorization.

537881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 537881760 is about 23192.2780252393. The cubic root of 537881760 is about 813.2591141328.

The spelling of 537881760 in words is "five hundred thirty-seven million, eight hundred eighty-one thousand, seven hundred sixty".