1963936 has 24 divisors (see below), whose sum is σ = 4164804. Its totient is φ = 906240.

The previous prime is 1963921. The next prime is 1963981. The reversal of 1963936 is 6393691.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 59536 = 1380^2 + 244^2 .

It is a super-2 number, since 2×1963936² = 7714089224192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1963895 and 1963904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1945 + ... + 2776.

2^1963936 is an apocalyptic number.

1963936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1963936 is an abundant number, since it is smaller than the sum of its proper divisors (2200868).

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

1963936 is a wasteful number, since it uses less digits than its factorization.

1963936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4736 counting only the distinct ones).

The product of its digits is 26244, while the sum is 37.

The square root of 1963936 is about 1401.4050092675. The cubic root of 1963936 is about 125.2302104316.

The spelling of 1963936 in words is "one million, nine hundred sixty-three thousand, nine hundred thirty-six".