57689000 has 32 divisors (see below), whose sum is σ = 134994600. Its totient is φ = 23075200.

The previous prime is 57688979. The next prime is 57689003. The reversal of 57689000 is 98675.

It can be written as a sum of positive squares in 4 ways, for example, as 7873636 + 49815364 = 2806^2 + 7058^2 .

It is not an unprimeable number, because it can be changed into a prime (57689003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27845 + ... + 29844.

Almost surely, 2^57689000 is an apocalyptic number.

57689000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57689000 is an abundant number, since it is smaller than the sum of its proper divisors (77305600).

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

57689000 is a wasteful number, since it uses less digits than its factorization.

57689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57710 (or 57696 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 57689000 is about 7595.3275110426. The cubic root of 57689000 is about 386.3945601756.

The spelling of 57689000 in words is "fifty-seven million, six hundred eighty-nine thousand".