1968288 has 96 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 537600.

The previous prime is 1968269. The next prime is 1968293. The reversal of 1968288 is 8828691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19438 + ... + 19538.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2^1968288 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 1968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

1968288 is an abundant number, since it is smaller than the sum of its proper divisors (4200672).

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

1968288 is a wasteful number, since it uses less digits than its factorization.

1968288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1968288 is about 1402.9568774556. The cubic root of 1968288 is about 125.3226438245.

1968288 divided by its sum of digits (42) gives a palindrome (46864).

The spelling of 1968288 in words is "one million, nine hundred sixty-eight thousand, two hundred eighty-eight".