1618128 has 60 divisors (see below), whose sum is σ = 4802148. Its totient is φ = 506880.

The previous prime is 1618093. The next prime is 1618129. The reversal of 1618128 is 8218161.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 345744 = 1128^2 + 588^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1618129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2118 + ... + 2778.

2^1618128 is an apocalyptic number.

1618128 is a gapful number since it is divisible by the number (18) 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 1618128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401074).

1618128 is an abundant number, since it is smaller than the sum of its proper divisors (3184020).

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

1618128 is a wasteful number, since it uses less digits than its factorization.

1618128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1618128 is about 1272.0566025142. The cubic root of 1618128 is about 117.4007733282.

The spelling of 1618128 in words is "one million, six hundred eighteen thousand, one hundred twenty-eight".