57765906 has 64 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 17269200.

The previous prime is 57765887. The next prime is 57765907. The reversal of 57765906 is 60956775.

It is a happy number.

57765906 is a `hidden beast` number, since 57 + 7 + 6 + 590 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57765907) 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, 46311 + ... + 47541.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 2^57765906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57765906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

57765906 is an abundant number, since it is smaller than the sum of its proper divisors (84160494).

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

57765906 is a wasteful number, since it uses less digits than its factorization.

57765906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 57765906 is about 7600.3885426996. The cubic root of 57765906 is about 386.5661865680.

The spelling of 57765906 in words is "fifty-seven million, seven hundred sixty-five thousand, nine hundred six".