1961936 has 20 divisors (see below), whose sum is σ = 4025412. Its totient is φ = 923136.

The previous prime is 1961933. The next prime is 1961957. The reversal of 1961936 is 6391691.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 384400 = 1256^2 + 620^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1961896 and 1961905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961933) 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, 3335 + ... + 3878.

2^1961936 is an apocalyptic number.

1961936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1961936 is an abundant number, since it is smaller than the sum of its proper divisors (2063476).

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

1961936 is a wasteful number, since it uses less digits than its factorization.

1961936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7232 counting only the distinct ones).

The product of its digits is 8748, while the sum is 35.

The square root of 1961936 is about 1400.6912579152. The cubic root of 1961936 is about 125.1876860505.

It can be divided in two parts, 196 and 1936, that multiplied together give a square (379456 = 616²).

The spelling of 1961936 in words is "one million, nine hundred sixty-one thousand, nine hundred thirty-six".