6432000 has 144 divisors (see below), whose sum is σ = 21682752. Its totient is φ = 1689600.

The previous prime is 6431993. The next prime is 6432011. The reversal of 6432000 is 2346.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95967 + ... + 96033.

Almost surely, 2^6432000 is an apocalyptic number.

6432000 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 6432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841376).

6432000 is an abundant number, since it is smaller than the sum of its proper divisors (15250752).

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

6432000 is an equidigital number, since it uses as much as digits as its factorization.

6432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 6432000 is about 2536.1387974636. The cubic root of 6432000 is about 185.9724782958.

Adding to 6432000 its reverse (2346), we get a palindrome (6434346).

The spelling of 6432000 in words is "six million, four hundred thirty-two thousand".