57406806 has 96 divisors (see below), whose sum is σ = 137225088. Its totient is φ = 17962560.

The previous prime is 57406801. The next prime is 57406813. The reversal of 57406806 is 60860475.

It is a happy number.

57406806 is a `hidden beast` number, since 574 + 0 + 6 + 80 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57406801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856785 + ... + 856851.

It is an arithmetic number, because the mean of its divisors is an integer number (1429428).

Almost surely, 2^57406806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57406806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68612544).

57406806 is an abundant number, since it is smaller than the sum of its proper divisors (79818282).

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

57406806 is a wasteful number, since it uses less digits than its factorization.

57406806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57406806 is about 7576.7279217351. The cubic root of 57406806 is about 385.7634953089.

The spelling of 57406806 in words is "fifty-seven million, four hundred six thousand, eight hundred six".