6801192 has 96 divisors (see below), whose sum is σ = 20260800. Its totient is φ = 2109888.

The previous prime is 6801187. The next prime is 6801199. The reversal of 6801192 is 2911086.

6801192 = 38³ + 39³ + ... + 73³.

6801192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183798 + ... + 183834.

It is an arithmetic number, because the mean of its divisors is an integer number (211050).

Almost surely, 2^6801192 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 6801192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130400).

6801192 is an abundant number, since it is smaller than the sum of its proper divisors (13459608).

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

6801192 is a wasteful number, since it uses less digits than its factorization.

6801192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6801192 is about 2607.9095076325. The cubic root of 6801192 is about 189.4647168271.

The spelling of 6801192 in words is "six million, eight hundred one thousand, one hundred ninety-two".