57605940 has 144 divisors (see below), whose sum is σ = 201801600. Its totient is φ = 13029120.

The previous prime is 57605927. The next prime is 57605941. The reversal of 57605940 is 4950675.

57605940 is a `hidden beast` number, since 5 + 7 + 60 + 594 + 0 = 666.

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

57605940 is a modest number, since divided by 5940 gives 5760 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 57605895 and 57605904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164886 + ... + 165234.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 2^57605940 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 57605940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

57605940 is an abundant number, since it is smaller than the sum of its proper divisors (144195660).

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

57605940 is a wasteful number, since it uses less digits than its factorization.

57605940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57605940 is about 7589.8577061761. The cubic root of 57605940 is about 386.2090288650.

The spelling of 57605940 in words is "fifty-seven million, six hundred five thousand, nine hundred forty".