9768192 has 144 divisors (see below), whose sum is σ = 31395840. Its totient is φ = 2635776.

The previous prime is 9768173. The next prime is 9768233. The reversal of 9768192 is 2918679.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123609 + ... + 123687.

Almost surely, 2^9768192 is an apocalyptic number.

9768192 is a gapful number since it is divisible by the number (92) 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 9768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697920).

9768192 is an abundant number, since it is smaller than the sum of its proper divisors (21627648).

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

9768192 is a wasteful number, since it uses less digits than its factorization.

9768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 9768192 is about 3125.4106930130. The cubic root of 9768192 is about 213.7657202624.

The spelling of 9768192 in words is "nine million, seven hundred sixty-eight thousand, one hundred ninety-two".