57784132 has 36 divisors (see below), whose sum is σ = 118718460. Its totient is φ = 24536064.

The previous prime is 57784127. The next prime is 57784147. The reversal of 57784132 is 23148775.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 46867716 = 3304^2 + 6846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57784091 and 57784100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20844 + ... + 23452.

It is an arithmetic number, because the mean of its divisors is an integer number (3297735).

Almost surely, 2^57784132 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 57784132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59359230).

57784132 is an abundant number, since it is smaller than the sum of its proper divisors (60934328).

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

57784132 is a wasteful number, since it uses less digits than its factorization.

57784132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2731 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 57784132 is about 7601.5874657863. The cubic root of 57784132 is about 386.6068380811.

The spelling of 57784132 in words is "fifty-seven million, seven hundred eighty-four thousand, one hundred thirty-two".