6834528 has 72 divisors (see below), whose sum is σ = 20475000. Its totient is φ = 2156544.

The previous prime is 6834511. The next prime is 6834533. The reversal of 6834528 is 8254386.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6834492 and 6834501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4848 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (284375).

Almost surely, 2^6834528 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 6834528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237500).

6834528 is an abundant number, since it is smaller than the sum of its proper divisors (13640472).

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

6834528 is a wasteful number, since it uses less digits than its factorization.

6834528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6834528 is about 2614.2930210671. The cubic root of 6834528 is about 189.7737658162.

It can be divided in two parts, 68 and 34528, that added together give a square (34596 = 186²).

The spelling of 6834528 in words is "six million, eight hundred thirty-four thousand, five hundred twenty-eight".