1649315826 has 96 divisors (see below), whose sum is σ = 3900536640. Its totient is φ = 501645312.

The previous prime is 1649315821. The next prime is 1649315831. The reversal of 1649315826 is 6285139461.

1649315826 is a `hidden beast` number, since 1 + 6 + 493 + 158 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1649315821) and next prime (1649315831).

It is not an unprimeable number, because it can be changed into a prime (1649315821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144370 + ... + 2145138.

It is an arithmetic number, because the mean of its divisors is an integer number (40630590).

Almost surely, 2^1649315826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649315826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950268320).

1649315826 is an abundant number, since it is smaller than the sum of its proper divisors (2251220814).

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

1649315826 is a wasteful number, since it uses less digits than its factorization.

1649315826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 997 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1649315826 is about 40611.7695502178. The cubic root of 1649315826 is about 1181.5024016286.

The spelling of 1649315826 in words is "one billion, six hundred forty-nine million, three hundred fifteen thousand, eight hundred twenty-six".