1632875648 has 64 divisors (see below), whose sum is σ = 3401088000. Its totient is φ = 779950080.

The previous prime is 1632875611. The next prime is 1632875659. The reversal of 1632875648 is 8465782361.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1632875596 and 1632875605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310868 + ... + 316076.

It is an arithmetic number, because the mean of its divisors is an integer number (53142000).

Almost surely, 2^1632875648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1632875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700544000).

1632875648 is an abundant number, since it is smaller than the sum of its proper divisors (1768212352).

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

1632875648 is an equidigital number, since it uses as much as digits as its factorization.

1632875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5321 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The square root of 1632875648 is about 40408.8560590374. The cubic root of 1632875648 is about 1177.5635949383.

The spelling of 1632875648 in words is "one billion, six hundred thirty-two million, eight hundred seventy-five thousand, six hundred forty-eight".