57666819 has 48 divisors (see below), whose sum is σ = 95558400. Its totient is φ = 30262848.

The previous prime is 57666803. The next prime is 57666841. The reversal of 57666819 is 91866675.

It is not a de Polignac number, because 57666819 - 2⁴ = 57666803 is a prime.

It is a super-2 number, since 2×57666819² = 6650924027157522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57666019) 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, 322072 + ... + 322250.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 2^57666819 is an apocalyptic number.

57666819 is a deficient number, since it is larger than the sum of its proper divisors (37891581).

57666819 is a wasteful number, since it uses less digits than its factorization.

57666819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 57666819 is about 7593.8671966265. The cubic root of 57666819 is about 386.3450318633.

It can be divided in two parts, 57666 and 819, that added together give a palindrome (58485).

The spelling of 57666819 in words is "fifty-seven million, six hundred sixty-six thousand, eight hundred nineteen".