1992168 has 64 divisors (see below), whose sum is σ = 5788800. Its totient is φ = 633600.

The previous prime is 1992167. The next prime is 1992181. The reversal of 1992168 is 8612991.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1992163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4768 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (90450).

2^1992168 is an apocalyptic number.

1992168 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 1992168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894400).

1992168 is an abundant number, since it is smaller than the sum of its proper divisors (3796632).

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

1992168 is a wasteful number, since it uses less digits than its factorization.

1992168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1992168 is about 1411.4418160165. The cubic root of 1992168 is about 125.8274281495.

The spelling of 1992168 in words is "one million, nine hundred ninety-two thousand, one hundred sixty-eight".