1635648 has 56 divisors (see below), whose sum is σ = 4949952. Its totient is φ = 466944.

The previous prime is 1635637. The next prime is 1635649. The reversal of 1635648 is 8465361.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1635649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (88392).

2^1635648 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 1635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474976).

1635648 is an abundant number, since it is smaller than the sum of its proper divisors (3314304).

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

1635648 is a wasteful number, since it uses less digits than its factorization.

1635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1635648 is about 1278.9245482045. The cubic root of 1635648 is about 117.8229654014.

The spelling of 1635648 in words is "one million, six hundred thirty-five thousand, six hundred forty-eight".