1963104 has 108 divisors (see below), whose sum is σ = 6133428. Its totient is φ = 549120.

The previous prime is 1963103. The next prime is 1963111. The reversal of 1963104 is 4013691.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 151002 + ... + 151014.

It is an arithmetic number, because the mean of its divisors is an integer number (56791).

2^1963104 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 1963104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066714).

1963104 is an abundant number, since it is smaller than the sum of its proper divisors (4170324).

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

1963104 is a wasteful number, since it uses less digits than its factorization.

1963104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1963104 is about 1401.1081328720. The cubic root of 1963104 is about 125.2125237976.

Multiplying 1963104 by its sum of digits (24), we get a square (47114496 = 6864²).

1963104 divided by its sum of digits (24) gives a square (81796 = 286²).

Adding to 1963104 its reverse (4013691), we get a palindrome (5976795).

The spelling of 1963104 in words is "one million, nine hundred sixty-three thousand, one hundred four".