1968600 has 96 divisors (see below), whose sum is σ = 6495120. Its totient is φ = 491520.

The previous prime is 1968599. The next prime is 1968611. The reversal of 1968600 is 68691.

1968600 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10104 + ... + 10296.

2^1968600 is an apocalyptic number.

1968600 is a gapful number since it is divisible by the number (10) 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 1968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247560).

1968600 is an abundant number, since it is smaller than the sum of its proper divisors (4526520).

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

1968600 is a wasteful number, since it uses less digits than its factorization.

1968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1968600 is about 1403.0680667737. The cubic root of 1968600 is about 125.3292652470.

The spelling of 1968600 in words is "one million, nine hundred sixty-eight thousand, six hundred".