57840 has 40 divisors (see below), whose sum is σ = 180048. Its totient is φ = 15360.

The previous prime is 57839. The next prime is 57847. The reversal of 57840 is 4875.

57840 = T₇₁ + T₇₂ + ... + T₈₈.

57840 = 26² + 27² + ... + 57².

57840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 57840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 360.

2⁵⁷⁸⁴⁰ is an apocalyptic number.

It is a pronic number, being equal to 240×241.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024).

57840 is an abundant number, since it is smaller than the sum of its proper divisors (122208).

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

57840 is a wasteful number, since it uses less digits than its factorization.

57840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57840 is about 240.4994802489. The cubic root of 57840 is about 38.6731393577.

The spelling of 57840 in words is "fifty-seven thousand, eight hundred forty".