57893940 has 120 divisors (see below), whose sum is σ = 195657000. Its totient is φ = 14245632.

The previous prime is 57893939. The next prime is 57893971. The reversal of 57893940 is 4939875.

57893940 is a `hidden beast` number, since 578 + 9 + 39 + 40 = 666.

57893940 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 4 ways, for example, as 467856 + 57426084 = 684^2 + 7578^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 19686 + ... + 22434.

It is an arithmetic number, because the mean of its divisors is an integer number (1630475).

Almost surely, 2^57893940 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 57893940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97828500).

57893940 is an abundant number, since it is smaller than the sum of its proper divisors (137763060).

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

57893940 is a wasteful number, since it uses less digits than its factorization.

57893940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 57893940 is about 7608.8067395617. The cubic root of 57893940 is about 386.8515745945.

The spelling of 57893940 in words is "fifty-seven million, eight hundred ninety-three thousand, nine hundred forty".