57840000 has 160 divisors (see below), whose sum is σ = 192782040. Its totient is φ = 15360000.

The previous prime is 57839993. The next prime is 57840011. The reversal of 57840000 is 4875.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239880 + ... + 240120.

Almost surely, 2^57840000 is an apocalyptic number.

57840000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96391020).

57840000 is an abundant number, since it is smaller than the sum of its proper divisors (134942040).

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

57840000 is an equidigital number, since it uses as much as digits as its factorization.

57840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

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

The square root of 57840000 is about 7605.2613367326. The cubic root of 57840000 is about 386.7313935770.

Adding to 57840000 its reverse (4875), we get a palindrome (57844875).

The spelling of 57840000 in words is "fifty-seven million, eight hundred forty thousand".