5618000 has 60 divisors (see below), whose sum is σ = 13845468. Its totient is φ = 2204800.

The previous prime is 5617999. The next prime is 5618009. The reversal of 5618000 is 8165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 760384 + 4857616 = 872^2 + 2204^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5618009) 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 11 ways as a sum of consecutive naturals, for example, 105974 + ... + 106026.

Almost surely, 2^5618000 is an apocalyptic number.

5618000 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 5618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922734).

5618000 is an abundant number, since it is smaller than the sum of its proper divisors (8227468).

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

5618000 is an equidigital number, since it uses as much as digits as its factorization.

5618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5618000 is about 2370.2320561498. The cubic root of 5618000 is about 177.7708619995.

Multiplying 5618000 by its sum of digits (20), we get a square (112360000 = 10600²).

5618000 divided by its sum of digits (20) gives a square (280900 = 530²).

The spelling of 5618000 in words is "five million, six hundred eighteen thousand".