57648045 has 64 divisors (see below), whose sum is σ = 114670080. Its totient is φ = 24081408.

The previous prime is 57648007. The next prime is 57648049. The reversal of 57648045 is 54084675.

It is not a de Polignac number, because 57648045 - 2⁶ = 57647981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 57647994 and 57648012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648049) 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 63 ways as a sum of consecutive naturals, for example, 214171 + ... + 214439.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 2^57648045 is an apocalyptic number.

It is an amenable number.

57648045 is a deficient number, since it is larger than the sum of its proper divisors (57022035).

57648045 is a wasteful number, since it uses less digits than its factorization.

57648045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 57648045 is about 7592.6309669310. The cubic root of 57648045 is about 386.3031011712.

The spelling of 57648045 in words is "fifty-seven million, six hundred forty-eight thousand, forty-five".