1648789560 has 512 divisors, whose sum is σ = 6408806400. Its totient is φ = 376358400.

The previous prime is 1648789559. The next prime is 1648789579. The reversal of 1648789560 is 659878461.

1648789560 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 78 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1648789497 and 1648789506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44561862 + ... + 44561898.

It is an arithmetic number, because the mean of its divisors is an integer number (12517200).

Almost surely, 2^1648789560 is an apocalyptic number.

1648789560 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 1648789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204403200).

1648789560 is an abundant number, since it is smaller than the sum of its proper divisors (4760016840).

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

1648789560 is a wasteful number, since it uses less digits than its factorization.

1648789560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1648789560 is about 40605.2898031771. The cubic root of 1648789560 is about 1181.3767231143.

The spelling of 1648789560 in words is "one billion, six hundred forty-eight million, seven hundred eighty-nine thousand, five hundred sixty".