6858432 has 168 divisors, whose sum is σ = 23743920. Its totient is φ = 1959552.

The previous prime is 6858427. The next prime is 6858433. The reversal of 6858432 is 2348586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6858433) 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, 979773 + ... + 979779.

Almost surely, 2^6858432 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 6858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871960).

6858432 is an abundant number, since it is smaller than the sum of its proper divisors (16885488).

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

6858432 is an frugal number, since it uses more digits than its factorization.

6858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

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

The square root of 6858432 is about 2618.8608210441. The cubic root of 6858432 is about 189.9947551645.

The spelling of 6858432 in words is "six million, eight hundred fifty-eight thousand, four hundred thirty-two".