1966968 has 48 divisors (see below), whose sum is σ = 5644080. Its totient is φ = 616704.

The previous prime is 1966967. The next prime is 1966973. The reversal of 1966968 is 8696691.

It is a super-2 number, since 2×1966968² = 7737926226048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (117585).

2^1966968 is an apocalyptic number.

1966968 is a gapful number since it is divisible by the number (18) 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 1966968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822040).

1966968 is an abundant number, since it is smaller than the sum of its proper divisors (3677112).

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

1966968 is a wasteful number, since it uses less digits than its factorization.

1966968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1966968 is about 1402.4863635701. The cubic root of 1966968 is about 125.2946223690.

The spelling of 1966968 in words is "one million, nine hundred sixty-six thousand, nine hundred sixty-eight".