57768540 has 48 divisors (see below), whose sum is σ = 162288672. Its totient is φ = 15353856.

The previous prime is 57768527. The next prime is 57768547. The reversal of 57768540 is 4586775.

It is a junction number, because it is equal to n+sod(n) for n = 57768492 and 57768501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57768547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18792 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (3381014).

Almost surely, 2^57768540 is an apocalyptic number.

It is an amenable number.

57768540 is an abundant number, since it is smaller than the sum of its proper divisors (104520132).

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

57768540 is a wasteful number, since it uses less digits than its factorization.

57768540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 57768540 is about 7600.5618213393. The cubic root of 57768540 is about 386.5720620052.

The spelling of 57768540 in words is "fifty-seven million, seven hundred sixty-eight thousand, five hundred forty".