1961764 has 18 divisors (see below), whose sum is σ = 3993990. Its totient is φ = 840672.

The previous prime is 1961759. The next prime is 1961767. The reversal of 1961764 is 4671691.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 1764 = 1400^2 + 42^2 .

1961764 is a modest number, since divided by 1764 gives 196 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1961767) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4809 + ... + 5200.

2^1961764 is an apocalyptic number.

1961764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1961764 is an abundant number, since it is smaller than the sum of its proper divisors (2032226).

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

1961764 is a wasteful number, since it uses less digits than its factorization.

1961764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10027 (or 10018 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 1961764 is about 1400.6298583138. The cubic root of 1961764 is about 125.1840276044.

It can be divided in two parts, 196 and 1764, that multiplied together give a square (345744 = 588²).

The spelling of 1961764 in words is "one million, nine hundred sixty-one thousand, seven hundred sixty-four".