1648109160 has 256 divisors, whose sum is σ = 5869670400. Its totient is φ = 410344704.

The previous prime is 1648109119. The next prime is 1648109161. The reversal of 1648109160 is 619018461.

It is a happy number.

1648109160 is a `hidden beast` number, since 1 + 648 + 1 + 0 + 9 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1648109161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067349 + ... + 1068891.

It is an arithmetic number, because the mean of its divisors is an integer number (22928400).

Almost surely, 2^1648109160 is an apocalyptic number.

1648109160 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 1648109160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934835200).

1648109160 is an abundant number, since it is smaller than the sum of its proper divisors (4221561240).

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

1648109160 is a wasteful number, since it uses less digits than its factorization.

1648109160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1648109160 is about 40596.9107199058. The cubic root of 1648109160 is about 1181.2141959417.

The spelling of 1648109160 in words is "one billion, six hundred forty-eight million, one hundred nine thousand, one hundred sixty".