1649128 has 32 divisors (see below), whose sum is σ = 3384360. Its totient is φ = 748800.

The previous prime is 1649111. The next prime is 1649129. The reversal of 1649128 is 8219461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 252004 = 1182^2 + 502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1649128.

It is not an unprimeable number, because it can be changed into a prime (1649129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10426 + ... + 10582.

2^1649128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692180).

1649128 is an abundant number, since it is smaller than the sum of its proper divisors (1735232).

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

1649128 is a wasteful number, since it uses less digits than its factorization.

1649128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 1649128 is about 1284.1837874697. The cubic root of 1649128 is about 118.1457549638.

The spelling of 1649128 in words is "one million, six hundred forty-nine thousand, one hundred twenty-eight".