1966848 has 72 divisors (see below), whose sum is σ = 5665968. Its totient is φ = 602112.

The previous prime is 1966847. The next prime is 1966871. The reversal of 1966848 is 8486691.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1966841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9886 + ... + 10082.

It is an arithmetic number, because the mean of its divisors is an integer number (78694).

2^1966848 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 1966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832984).

1966848 is an abundant number, since it is smaller than the sum of its proper divisors (3699120).

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

1966848 is a wasteful number, since it uses less digits than its factorization.

1966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1966848 is about 1402.4435817529. The cubic root of 1966848 is about 125.2920743424.

The spelling of 1966848 in words is "one million, nine hundred sixty-six thousand, eight hundred forty-eight".