8432000 has 128 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 3072000.

The previous prime is 8431993. The next prime is 8432003. The reversal of 8432000 is 2348.

8432000 = 3⁴ + 4⁴ + ... + 33⁴.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8432000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271985 + ... + 272015.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^8432000 is an apocalyptic number.

8432000 is a gapful number since it is divisible by the number (80) 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 8432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

8432000 is an abundant number, since it is smaller than the sum of its proper divisors (14481280).

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

8432000 is a wasteful number, since it uses less digits than its factorization.

8432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8432000 is about 2903.7906260610. The cubic root of 8432000 is about 203.5370766758.

Adding to 8432000 its reverse (2348), we get a palindrome (8434348).

The spelling of 8432000 in words is "eight million, four hundred thirty-two thousand".