1965888 has 42 divisors (see below), whose sum is σ = 5636514. Its totient is φ = 655104.

The previous prime is 1965883. The next prime is 1965889. The reversal of 1965888 is 8885691.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 28224 = 1392^2 + 168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965883) 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, 1131 + ... + 2282.

2^1965888 is an apocalyptic number.

1965888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1965888 is an abundant number, since it is smaller than the sum of its proper divisors (3670626).

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

1965888 is a wasteful number, since it uses less digits than its factorization.

1965888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3418 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 1965888 is about 1402.1012802219. The cubic root of 1965888 is about 125.2716863975.

It can be divided in two parts, 196 and 5888, that added together give a square (6084 = 78²).

The spelling of 1965888 in words is "one million, nine hundred sixty-five thousand, eight hundred eighty-eight".