1618000 has 40 divisors (see below), whose sum is σ = 3917160. Its totient is φ = 646400.

The previous prime is 1617989. The next prime is 1618003. The reversal of 1618000 is 8161.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 1617984 = 4^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1618003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2^1618000 is an apocalyptic number.

1618000 is a gapful number since it is divisible by the number (10) 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 1618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958580).

1618000 is an abundant number, since it is smaller than the sum of its proper divisors (2299160).

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

1618000 is an equidigital number, since it uses as much as digits as its factorization.

1618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1618000 is about 1272.0062892926. The cubic root of 1618000 is about 117.3976776326.

Subtracting from 1618000 its sum of digits (16), we obtain a square (1617984 = 1272²).

The spelling of 1618000 in words is "one million, six hundred eighteen thousand".