538087680 has 216 divisors, whose sum is σ = 2005495128. Its totient is φ = 132415488.

The previous prime is 538087673. The next prime is 538087717. The reversal of 538087680 is 86780835.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 537497856 = 768^2 + 23184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147964 + ... + 151556.

Almost surely, 2^538087680 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 538087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002747564).

538087680 is an abundant number, since it is smaller than the sum of its proper divisors (1467407448).

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

538087680 is a wasteful number, since it uses less digits than its factorization.

538087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 538087680 is about 23196.7170090942. The cubic root of 538087680 is about 813.3628822613.

The spelling of 538087680 in words is "five hundred thirty-eight million, eighty-seven thousand, six hundred eighty".