1648881360 has 420 divisors, whose sum is σ = 6697855908. Its totient is φ = 376233984.

The previous prime is 1648881329. The next prime is 1648881407. The reversal of 1648881360 is 631888461.

It is a happy number.

1648881360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 386358336 = 35532^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857392 + ... + 2857968.

Almost surely, 2^1648881360 is an apocalyptic number.

1648881360 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 1648881360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348927954).

1648881360 is an abundant number, since it is smaller than the sum of its proper divisors (5048974548).

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

1648881360 is an equidigital number, since it uses as much as digits as its factorization.

1648881360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1648881360 is about 40606.4201820353. The cubic root of 1648881360 is about 1181.3986479601.

The spelling of 1648881360 in words is "one billion, six hundred forty-eight million, eight hundred eighty-one thousand, three hundred sixty".