57775140 has 96 divisors (see below), whose sum is σ = 181762560. Its totient is φ = 15234048.

The previous prime is 57775127. The next prime is 57775147. The reversal of 57775140 is 4157775.

57775140 is a `hidden beast` number, since 577 + 75 + 14 + 0 = 666.

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 = 57775095 and 57775104.

It is not an unprimeable number, because it can be changed into a prime (57775147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51829 + ... + 52931.

It is an arithmetic number, because the mean of its divisors is an integer number (1893360).

Almost surely, 2^57775140 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 57775140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881280).

57775140 is an abundant number, since it is smaller than the sum of its proper divisors (123987420).

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

57775140 is a wasteful number, since it uses less digits than its factorization.

57775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 57775140 is about 7600.9959873690. The cubic root of 57775140 is about 386.5867832730.

The spelling of 57775140 in words is "fifty-seven million, seven hundred seventy-five thousand, one hundred forty".