5364000 has 144 divisors (see below), whose sum is σ = 19164600. Its totient is φ = 1420800.

The previous prime is 5363983. The next prime is 5364013. The reversal of 5364000 is 4635.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 4717584 = 804^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35926 + ... + 36074.

Almost surely, 2^5364000 is an apocalyptic number.

5364000 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 5364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582300).

5364000 is an abundant number, since it is smaller than the sum of its proper divisors (13800600).

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

5364000 is a wasteful number, since it uses less digits than its factorization.

5364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5364000 is about 2316.0310878743. The cubic root of 5364000 is about 175.0503256623.

Adding to 5364000 its reverse (4635), we get a palindrome (5368635).

The spelling of 5364000 in words is "five million, three hundred sixty-four thousand".