1923168 has 96 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 557568.

The previous prime is 1923167. The next prime is 1923169. The reversal of 1923168 is 8613291.

It is an interprime number because it is at equal distance from previous prime (1923167) and next prime (1923169).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (2592) is a multiple of the sum of its prime divisors (108).

1923168 is a modest number, since divided by 3168 gives 192 as remainder.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923167) 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, 28671 + ... + 28737.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2^1923168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

1923168 is an abundant number, since it is smaller than the sum of its proper divisors (3834528).

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

1923168 is a wasteful number, since it uses less digits than its factorization.

1923168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

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

The square root of 1923168 is about 1386.7833284259. The cubic root of 1923168 is about 124.3576217902.

The spelling of 1923168 in words is "one million, nine hundred twenty-three thousand, one hundred sixty-eight".