1648831040 has 56 divisors (see below), whose sum is σ = 3935147832. Its totient is φ = 658042880.

The previous prime is 1648831021. The next prime is 1648831043. The reversal of 1648831040 is 401388461.

It can be written as a sum of positive squares in 4 ways, for example, as 301647424 + 1347183616 = 17368^2 + 36704^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1648831043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 141932 + ... + 153108.

It is an arithmetic number, because the mean of its divisors is an integer number (70270497).

Almost surely, 2^1648831040 is an apocalyptic number.

1648831040 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 1648831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967573916).

1648831040 is an abundant number, since it is smaller than the sum of its proper divisors (2286316792).

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

1648831040 is a wasteful number, since it uses less digits than its factorization.

1648831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11655 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1648831040 is about 40605.8005708544. The cubic root of 1648831040 is about 1181.3866299973.

The spelling of 1648831040 in words is "one billion, six hundred forty-eight million, eight hundred thirty-one thousand, forty".