57678336 has 60 divisors (see below), whose sum is σ = 166476882. Its totient is φ = 19224576.

The previous prime is 57678329. The next prime is 57678337. The reversal of 57678336 is 63387675.

57678336 is a `hidden beast` number, since 576 + 78 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 21678336 = 6000^2 + 4656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57678291 and 57678300.

It is not an unprimeable number, because it can be changed into a prime (57678337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1651 + ... + 10866.

Almost surely, 2^57678336 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 57678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83238441).

57678336 is an abundant number, since it is smaller than the sum of its proper divisors (108798546).

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

57678336 is a wasteful number, since it uses less digits than its factorization.

57678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12522 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 57678336 is about 7594.6254680530. The cubic root of 57678336 is about 386.3707499431.

The spelling of 57678336 in words is "fifty-seven million, six hundred seventy-eight thousand, three hundred thirty-six".