5508000 has 240 divisors, whose sum is σ = 21405384. Its totient is φ = 1382400.

The previous prime is 5507993. The next prime is 5508001. The reversal of 5508000 is 8055.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 3111696 = 1548^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5508001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323992 + ... + 324008.

Almost surely, 2^5508000 is an apocalyptic number.

5508000 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 5508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

5508000 is an abundant number, since it is smaller than the sum of its proper divisors (15897384).

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

5508000 is a wasteful number, since it uses less digits than its factorization.

5508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5508000 is about 2346.9128658730. The cubic root of 5508000 is about 176.6029595065.

Subtracting from 5508000 its reverse (8055), we obtain a palindrome (5499945).

The spelling of 5508000 in words is "five million, five hundred eight thousand".