538591680 has 280 divisors, whose sum is σ = 2091141360. Its totient is φ = 130498560.

The previous prime is 538591679. The next prime is 538591681. The reversal of 538591680 is 86195835.

538591680 is a `hidden beast` number, since 53 + 8 + 591 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (538591679) and next prime (538591681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538591681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284176 + ... + 286064.

It is an arithmetic number, because the mean of its divisors is an integer number (7468362).

Almost surely, 2^538591680 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 538591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045570680).

538591680 is an abundant number, since it is smaller than the sum of its proper divisors (1552549680).

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

538591680 is a wasteful number, since it uses less digits than its factorization.

538591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 538591680 is about 23207.5780726900. The cubic root of 538591680 is about 813.6167485523.

The spelling of 538591680 in words is "five hundred thirty-eight million, five hundred ninety-one thousand, six hundred eighty".