1966328 has 64 divisors (see below), whose sum is σ = 4724160. Its totient is φ = 746496.

The previous prime is 1966303. The next prime is 1966331. The reversal of 1966328 is 8236691.

1966328 = 527² + 528² + ... + 533².

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26900 + ... + 26972.

It is an arithmetic number, because the mean of its divisors is an integer number (73815).

2^1966328 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 1966328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362080).

1966328 is an abundant number, since it is smaller than the sum of its proper divisors (2757832).

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

1966328 is a wasteful number, since it uses less digits than its factorization.

1966328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 1966328 is about 1402.2581787959. The cubic root of 1966328 is about 125.2810316960.

It can be divided in two parts, 19663 and 28, that multiplied together give a square (550564 = 742²).

The spelling of 1966328 in words is "one million, nine hundred sixty-six thousand, three hundred twenty-eight".