19795168 has 48 divisors (see below), whose sum is σ = 40960080. Its totient is φ = 9404416.

The previous prime is 19795159. The next prime is 19795177. The reversal of 19795168 is 86159791.

It is a happy number.

19795168 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (19795159) and next prime (19795177).

It is a super-2 number, since 2×19795168² = 783697352296448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76896 + ... + 77152.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 2^19795168 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 19795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480040).

19795168 is an abundant number, since it is smaller than the sum of its proper divisors (21164912).

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

19795168 is a wasteful number, since it uses less digits than its factorization.

19795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 136080, while the sum is 46.

The square root of 19795168 is about 4449.1761035050. The cubic root of 19795168 is about 270.5119140398.

The spelling of 19795168 in words is "nineteen million, seven hundred ninety-five thousand, one hundred sixty-eight".