57666840 has 192 divisors, whose sum is σ = 218453760. Its totient is φ = 11831040.

The previous prime is 57666803. The next prime is 57666841. The reversal of 57666840 is 4866675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57666792 and 57666801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666841) 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, 729921 + ... + 729999.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 2^57666840 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 57666840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226880).

57666840 is an abundant number, since it is smaller than the sum of its proper divisors (160786920).

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

57666840 is a wasteful number, since it uses less digits than its factorization.

57666840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 57666840 is about 7593.8685793211. The cubic root of 57666840 is about 386.3450787605.

The spelling of 57666840 in words is "fifty-seven million, six hundred sixty-six thousand, eight hundred forty".