1632768 has 40 divisors (see below), whose sum is σ = 4353888. Its totient is φ = 543744.

The previous prime is 1632767. The next prime is 1632769. The reversal of 1632768 is 8672361.

It is an interprime number because it is at equal distance from previous prime (1632767) and next prime (1632769).

It is not an unprimeable number, because it can be changed into a prime (1632767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1005 + ... + 2067.

2^1632768 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 1632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176944).

1632768 is an abundant number, since it is smaller than the sum of its proper divisors (2721120).

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

1632768 is an equidigital number, since it uses as much as digits as its factorization.

1632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1632768 is about 1277.7981061185. The cubic root of 1632768 is about 117.7537717248.

It can be divided in two parts, 16 and 32768, that multiplied together give a 19-th power (524288 = 2¹⁹).

The spelling of 1632768 in words is "one million, six hundred thirty-two thousand, seven hundred sixty-eight".