5382000 has 240 divisors, whose sum is σ = 21123648. Its totient is φ = 1267200.

The previous prime is 5381989. The next prime is 5382001. The reversal of 5382000 is 2835.

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 (5382001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233989 + ... + 234011.

Almost surely, 2^5382000 is an apocalyptic number.

5382000 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 5382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

5382000 is an abundant number, since it is smaller than the sum of its proper divisors (15741648).

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

5382000 is a wasteful number, since it uses less digits than its factorization.

5382000 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5382000 is about 2319.9137915017. The cubic root of 5382000 is about 175.2459127810.

Adding to 5382000 its reverse (2835), we get a palindrome (5384835).

The spelling of 5382000 in words is "five million, three hundred eighty-two thousand".