6832992 has 48 divisors (see below), whose sum is σ = 18128880. Its totient is φ = 2253312.

The previous prime is 6832979. The next prime is 6832993. The reversal of 6832992 is 2992386.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6832992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10138 + ... + 10790.

It is an arithmetic number, because the mean of its divisors is an integer number (377685).

Almost surely, 2^6832992 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 6832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064440).

6832992 is an abundant number, since it is smaller than the sum of its proper divisors (11295888).

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

6832992 is a wasteful number, since it uses less digits than its factorization.

6832992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 6832992 is about 2613.9992348889. Note that the first 3 decimals coincide. The cubic root of 6832992 is about 189.7595480900.

Subtracting from 6832992 its reverse (2992386), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 6832992 in words is "six million, eight hundred thirty-two thousand, nine hundred ninety-two".