1648481600 has 84 divisors (see below), whose sum is σ = 4096857948. Its totient is φ = 652864000.

The previous prime is 1648481587. The next prime is 1648481651. The reversal of 1648481600 is 61848461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 188018944 + 1460462656 = 13712^2 + 38216^2 .

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 11 ways as a sum of consecutive naturals, for example, 16321550 + ... + 16321650.

Almost surely, 2^1648481600 is an apocalyptic number.

1648481600 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 1648481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048428974).

1648481600 is an abundant number, since it is smaller than the sum of its proper divisors (2448376348).

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

1648481600 is an frugal number, since it uses more digits than its factorization.

1648481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1648481600 is about 40601.4975093284. The cubic root of 1648481600 is about 1181.3031662380.

The spelling of 1648481600 in words is "one billion, six hundred forty-eight million, four hundred eighty-one thousand, six hundred".