768192 has 28 divisors (see below), whose sum is σ = 2033016. Its totient is φ = 256000.

The previous prime is 768191. The next prime is 768193. The reversal of 768192 is 291867.

It is an interprime number because it is at equal distance from previous prime (768191) and next prime (768193).

It is not an unprimeable number, because it can be changed into a prime (768191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1809 + ... + 2192.

2⁷⁶⁸¹⁹² is an apocalyptic number.

It is an amenable number.

768192 is an abundant number, since it is smaller than the sum of its proper divisors (1264824).

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

768192 is a wasteful number, since it uses less digits than its factorization.

768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4006 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 768192 is about 876.4656296741. The cubic root of 768192 is about 91.5847701967.

It can be divided in two parts, 768 and 192, that multiplied together give a square (147456 = 384²).

The spelling of 768192 in words is "seven hundred sixty-eight thousand, one hundred ninety-two".