1968064 has 56 divisors (see below), whose sum is σ = 4681728. Its totient is φ = 802560.

The previous prime is 1968061. The next prime is 1968079. The reversal of 1968064 is 4608691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a plaindrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968061) 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, 10209 + ... + 10399.

2^1968064 is an apocalyptic number.

1968064 is a gapful number since it is divisible by the number (14) 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 1968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340864).

1968064 is an abundant number, since it is smaller than the sum of its proper divisors (2713664).

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

1968064 is a wasteful number, since it uses less digits than its factorization.

1968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1968064 is about 1402.8770437925. The cubic root of 1968064 is about 125.3178895512.

The spelling of 1968064 in words is "one million, nine hundred sixty-eight thousand, sixty-four".