1967936 has 28 divisors (see below), whose sum is σ = 3957828. Its totient is φ = 970752.

The previous prime is 1967923. The next prime is 1967939. The reversal of 1967936 is 6397691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 430336 + 1537600 = 656^2 + 1240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1967893 and 1967902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6050 + ... + 6366.

It is an arithmetic number, because the mean of its divisors is an integer number (141351).

2^1967936 is an apocalyptic number.

1967936 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 1967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978914).

1967936 is an abundant number, since it is smaller than the sum of its proper divisors (1989892).

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

1967936 is an equidigital number, since it uses as much as digits as its factorization.

1967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 61236, while the sum is 41.

The square root of 1967936 is about 1402.8314225166. The cubic root of 1967936 is about 125.3151726617.

The spelling of 1967936 in words is "one million, nine hundred sixty-seven thousand, nine hundred thirty-six".