1648988640 has 288 divisors, whose sum is σ = 6166873440. Its totient is φ = 398757888.

The previous prime is 1648988623. The next prime is 1648988683. The reversal of 1648988640 is 468898461.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103734 + ... + 1105226.

It is an arithmetic number, because the mean of its divisors is an integer number (21412755).

Almost surely, 2^1648988640 is an apocalyptic number.

1648988640 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 1648988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083436720).

1648988640 is an abundant number, since it is smaller than the sum of its proper divisors (4517884800).

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

1648988640 is a wasteful number, since it uses less digits than its factorization.

1648988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1648988640 is about 40607.7411339267. The cubic root of 1648988640 is about 1181.4242689056.

The spelling of 1648988640 in words is "one billion, six hundred forty-eight million, nine hundred eighty-eight thousand, six hundred forty".