538681680 has 60 divisors (see below), whose sum is σ = 1809075060. Its totient is φ = 143648256.

The previous prime is 538681679. The next prime is 538681681. The reversal of 538681680 is 86186835.

It is an interprime number because it is at equal distance from previous prime (538681679) and next prime (538681681).

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 362217024 = 13284^2 + 19032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (538681681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373365 + ... + 374804.

It is an arithmetic number, because the mean of its divisors is an integer number (30151251).

Almost surely, 2^538681680 is an apocalyptic number.

It is an amenable number.

538681680 is an abundant number, since it is smaller than the sum of its proper divisors (1270393380).

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

538681680 is a wasteful number, since it uses less digits than its factorization.

538681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748188 (or 748179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 538681680 is about 23209.5170135012. The cubic root of 538681680 is about 813.6620651510.

The spelling of 538681680 in words is "five hundred thirty-eight million, six hundred eighty-one thousand, six hundred eighty".