6832560 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1542912.

The previous prime is 6832559. The next prime is 6832597. The reversal of 6832560 is 652386.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82279 + ... + 82361.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^6832560 is an apocalyptic number.

6832560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

6832560 is an abundant number, since it is smaller than the sum of its proper divisors (18165840).

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

6832560 is a wasteful number, since it uses less digits than its factorization.

6832560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6832560 is about 2613.9166015770. The cubic root of 6832560 is about 189.7555489706.

The spelling of 6832560 in words is "six million, eight hundred thirty-two thousand, five hundred sixty".