57189620 has 54 divisors (see below), whose sum is σ = 128192022. Its totient is φ = 21428352.

The previous prime is 57189607. The next prime is 57189641. The reversal of 57189620 is 2698175.

57189620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 57183844 = 76^2 + 7562^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 642536 + ... + 642624.

Almost surely, 2^57189620 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 57189620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64096011).

57189620 is an abundant number, since it is smaller than the sum of its proper divisors (71002402).

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

57189620 is a wasteful number, since it uses less digits than its factorization.

57189620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 57189620 is about 7562.3818999043. The cubic root of 57189620 is about 385.2763967897.

The spelling of 57189620 in words is "fifty-seven million, one hundred eighty-nine thousand, six hundred twenty".