1649958360 has 128 divisors (see below), whose sum is σ = 5219182080. Its totient is φ = 416452608.

The previous prime is 1649958311. The next prime is 1649958377. The reversal of 1649958360 is 638599461.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264639 + ... + 270801.

It is an arithmetic number, because the mean of its divisors is an integer number (40774860).

Almost surely, 2^1649958360 is an apocalyptic number.

1649958360 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 1649958360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609591040).

1649958360 is an abundant number, since it is smaller than the sum of its proper divisors (3569223720).

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

1649958360 is a wasteful number, since it uses less digits than its factorization.

1649958360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 1649958360 is about 40619.6794669776. The cubic root of 1649958360 is about 1181.6558100684.

The spelling of 1649958360 in words is "one billion, six hundred forty-nine million, nine hundred fifty-eight thousand, three hundred sixty".