57038940 has 216 divisors, whose sum is σ = 209139840. Its totient is φ = 12531456.

The previous prime is 57038939. The next prime is 57038951. The reversal of 57038940 is 4983075.

57038940 is a `hidden beast` number, since 570 + 3 + 89 + 4 + 0 = 666.

57038940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57038895 and 57038904.

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 71 ways as a sum of consecutive naturals, for example, 255669 + ... + 255891.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^57038940 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 57038940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

57038940 is an abundant number, since it is smaller than the sum of its proper divisors (152100900).

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

57038940 is a wasteful number, since it uses less digits than its factorization.

57038940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57038940 is about 7552.4128594774. The cubic root of 57038940 is about 384.9377309761.

The spelling of 57038940 in words is "fifty-seven million, thirty-eight thousand, nine hundred forty".