1961888 has 24 divisors (see below), whose sum is σ = 3969252. Its totient is φ = 953856.

The previous prime is 1961887. The next prime is 1961893. The reversal of 1961888 is 8881691.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 35344 = 1388^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (1961887) 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 3 ways as a sum of consecutive naturals, for example, 356 + ... + 2012.

2^1961888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984626).

1961888 is an abundant number, since it is smaller than the sum of its proper divisors (2007364).

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

1961888 is a wasteful number, since it uses less digits than its factorization.

1961888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1696 counting only the distinct ones).

The product of its digits is 27648, while the sum is 41.

The square root of 1961888 is about 1400.6741234134. The cubic root of 1961888 is about 125.1866651103.

The spelling of 1961888 in words is "one million, nine hundred sixty-one thousand, eight hundred eighty-eight".