1968000 has 128 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 512000.

The previous prime is 1967947. The next prime is 1968017. The reversal of 1968000 is 8691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1968000³ = 22866333696000000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 47980 + ... + 48020.

2^1968000 is an apocalyptic number.

1968000 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 1968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

1968000 is an abundant number, since it is smaller than the sum of its proper divisors (4715040).

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

1968000 is an equidigital number, since it uses as much as digits as its factorization.

1968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1968000 is about 1402.8542333400. The cubic root of 1968000 is about 125.3165311212.

The spelling of 1968000 in words is "one million, nine hundred sixty-eight thousand".