538672680 has 672 divisors, whose sum is σ = 2354977800. Its totient is φ = 109734912.

The previous prime is 538672657. The next prime is 538672681. The reversal of 538672680 is 86276835.

538672680 is a `hidden beast` number, since 5 + 386 + 7 + 268 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343064484 + 195608196 = 18522^2 + 13986^2 .

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

It is not an unprimeable number, because it can be changed into a prime (538672681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18574906 + ... + 18574934.

Almost surely, 2^538672680 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 538672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177488900).

538672680 is an abundant number, since it is smaller than the sum of its proper divisors (1816305120).

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

538672680 is a wasteful number, since it uses less digits than its factorization.

538672680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 538672680 is about 23209.3231267092. The cubic root of 538672680 is about 813.6575337182.

The spelling of 538672680 in words is "five hundred thirty-eight million, six hundred seventy-two thousand, six hundred eighty".