57340 has 24 divisors (see below), whose sum is σ = 124992. Its totient is φ = 22080.

The previous prime is 57331. The next prime is 57347. The reversal of 57340 is 4375.

57340 = T₂₄ + T₂₅ + ... + T₇₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57347) by changing a digit.

57340 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 910 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁵⁷³⁴⁰ is an apocalyptic number.

It is an amenable number.

57340 is an abundant number, since it is smaller than the sum of its proper divisors (67652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

57340 is a wasteful number, since it uses less digits than its factorization.

57340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 57340 is about 239.4577206941. The cubic root of 57340 is about 38.5613795756.

The spelling of 57340 in words is "fifty-seven thousand, three hundred forty".