8432320 has 56 divisors (see below), whose sum is σ = 21634704. Its totient is φ = 3111936.

The previous prime is 8432311. The next prime is 8432321. The reversal of 8432320 is 232348.

8432320 = T₄₈₁ + T₄₈₂ + ... + T₅₄₄.

It is a super-2 number, since 2×8432320² = 142208041164800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8432291 and 8432300.

It is not an unprimeable number, because it can be changed into a prime (8432321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3147 + ... + 5173.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 2^8432320 is an apocalyptic number.

8432320 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 8432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817352).

8432320 is an abundant number, since it is smaller than the sum of its proper divisors (13202384).

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

8432320 is a wasteful number, since it uses less digits than its factorization.

8432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 8432320 is about 2903.8457259297. The cubic root of 8432320 is about 203.5396514323.

Adding to 8432320 its reverse (232348), we get a palindrome (8664668).

The spelling of 8432320 in words is "eight million, four hundred thirty-two thousand, three hundred twenty".