57668436 has 120 divisors (see below), whose sum is σ = 176284416. Its totient is φ = 16096320.

The previous prime is 57668423. The next prime is 57668491. The reversal of 57668436 is 63486675.

It is a junction number, because it is equal to n+sod(n) for n = 57668391 and 57668400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106326 + ... + 106866.

Almost surely, 2^57668436 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 57668436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88142208).

57668436 is an abundant number, since it is smaller than the sum of its proper divisors (118615980).

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

57668436 is a wasteful number, since it uses less digits than its factorization.

57668436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 57668436 is about 7593.9736633728. The cubic root of 57668436 is about 386.3486429178.

The spelling of 57668436 in words is "fifty-seven million, six hundred sixty-eight thousand, four hundred thirty-six".