1631168 has 56 divisors (see below), whose sum is σ = 4047744. Its totient is φ = 633600.

The previous prime is 1631159. The next prime is 1631171. The reversal of 1631168 is 8611361.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 4763 + ... + 5093.

2^1631168 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 1631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023872).

1631168 is an abundant number, since it is smaller than the sum of its proper divisors (2416576).

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

1631168 is a wasteful number, since it uses less digits than its factorization.

1631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 1631168 is about 1277.1718756691. The cubic root of 1631168 is about 117.7152956298.

It can be divided in two parts, 163 and 1168, that added together give a palindrome (1331).

The spelling of 1631168 in words is "one million, six hundred thirty-one thousand, one hundred sixty-eight".