1649120256 has 176 divisors, whose sum is σ = 5582250880. Its totient is φ = 471121920.

The previous prime is 1649120203. The next prime is 1649120261. The reversal of 1649120256 is 6520219461.

1649120256 is a `hidden beast` number, since 1 + 649 + 1 + 2 + 0 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1649120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189276 + ... + 197796.

Almost surely, 2^1649120256 is an apocalyptic number.

1649120256 is a gapful number since it is divisible by the number (16) 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 1649120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791125440).

1649120256 is an abundant number, since it is smaller than the sum of its proper divisors (3933130624).

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

1649120256 is an equidigital number, since it uses as much as digits as its factorization.

1649120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1649120256 is about 40609.3616792975. The cubic root of 1649120256 is about 1181.4557003329.

The spelling of 1649120256 in words is "one billion, six hundred forty-nine million, one hundred twenty thousand, two hundred fifty-six".