1963296 has 72 divisors (see below), whose sum is σ = 5926284. Its totient is φ = 614400.

The previous prime is 1963277. The next prime is 1963309. The reversal of 1963296 is 6923691.

1963296 is a `hidden beast` number, since 19 + 632 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 435600 = 1236^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1963296.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4696 + ... + 5096.

2^1963296 is an apocalyptic number.

1963296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1963296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963142).

1963296 is an abundant number, since it is smaller than the sum of its proper divisors (3962988).

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

1963296 is a wasteful number, since it uses less digits than its factorization.

1963296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1963296 is about 1401.1766483923. The cubic root of 1963296 is about 125.2166057720.

The spelling of 1963296 in words is "one million, nine hundred sixty-three thousand, two hundred ninety-six".