57760340 has 48 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 20791680.

The previous prime is 57760333. The next prime is 57760357. The reversal of 57760340 is 4306775.

57760340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57760297 and 57760306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21386 + ... + 23934.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^57760340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57760340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

57760340 is an abundant number, since it is smaller than the sum of its proper divisors (75900460).

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

57760340 is a wasteful number, since it uses less digits than its factorization.

57760340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 57760340 is about 7600.0223683881. The cubic root of 57760340 is about 386.5537703831.

The spelling of 57760340 in words is "fifty-seven million, seven hundred sixty thousand, three hundred forty".