5814000 has 240 divisors, whose sum is σ = 22632480. Its totient is φ = 1382400.

The previous prime is 5813993. The next prime is 5814001. The reversal of 5814000 is 4185.

5814000 is digitally balanced in base 4, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305991 + ... + 306009.

It is an arithmetic number, because the mean of its divisors is an integer number (94302).

Almost surely, 2^5814000 is an apocalyptic number.

5814000 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 5814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316240).

5814000 is an abundant number, since it is smaller than the sum of its proper divisors (16818480).

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

5814000 is a wasteful number, since it uses less digits than its factorization.

5814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5814000 is about 2411.2237556892. The cubic root of 5814000 is about 179.8146239677.

Adding to 5814000 its reverse (4185), we get a palindrome (5818185).

The spelling of 5814000 in words is "five million, eight hundred fourteen thousand".