1965968 has 40 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 895104.

The previous prime is 1965967. The next prime is 1965973. The reversal of 1965968 is 8695691.

It is not an unprimeable number, because it can be changed into a prime (1965967) 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, 8705 + ... + 8927.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^1965968 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 1965968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1965968 is an abundant number, since it is smaller than the sum of its proper divisors (2200432).

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

1965968 is a wasteful number, since it uses less digits than its factorization.

1965968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 116640, while the sum is 44.

The square root of 1965968 is about 1402.1298085413. The cubic root of 1965968 is about 125.2733856464.

The spelling of 1965968 in words is "one million, nine hundred sixty-five thousand, nine hundred sixty-eight".