6877832 has 32 divisors (see below), whose sum is σ = 14235480. Its totient is φ = 3095040.

The previous prime is 6877817. The next prime is 6877837. The reversal of 6877832 is 2387786.

It can be written as a sum of positive squares in 4 ways, for example, as 3290596 + 3587236 = 1814^2 + 1894^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 6877832.

It is not an unprimeable number, because it can be changed into a prime (6877837) 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, 3458 + ... + 5070.

Almost surely, 2^6877832 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 6877832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117740).

6877832 is an abundant number, since it is smaller than the sum of its proper divisors (7357648).

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

6877832 is a wasteful number, since it uses less digits than its factorization.

6877832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 6877832 is about 2622.5621060330. The cubic root of 6877832 is about 190.1737284511.

It can be divided in two parts, 6877 and 832, that multiplied together give a square (5721664 = 2392²).

The spelling of 6877832 in words is "six million, eight hundred seventy-seven thousand, eight hundred thirty-two".