1968096 has 96 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 566784.

The previous prime is 1968079. The next prime is 1968103. The reversal of 1968096 is 6908691.

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 (39).

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, 23671 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2^1968096 is an apocalyptic number.

1968096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

1968096 is an abundant number, since it is smaller than the sum of its proper divisors (3958944).

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

1968096 is a wasteful number, since it uses less digits than its factorization.

1968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1968096 is about 1402.8884488797. Note that the first 3 decimals coincide. The cubic root of 1968096 is about 125.3185687552.

The spelling of 1968096 in words is "one million, nine hundred sixty-eight thousand, ninety-six".