8432820 has 72 divisors (see below), whose sum is σ = 27911520. Its totient is φ = 2043840.

The previous prime is 8432819. The next prime is 8432843. The reversal of 8432820 is 282348.

It is a super-2 number, since 2×8432820² = 142224906304800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (387660).

Almost surely, 2^8432820 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 8432820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955760).

8432820 is an abundant number, since it is smaller than the sum of its proper divisors (19478700).

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

8432820 is a wasteful number, since it uses less digits than its factorization.

8432820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8432820 is about 2903.9318173814. The cubic root of 8432820 is about 203.5436743590.

It can be divided in two parts, 84328 and 20, that added together give a palindrome (84348).

The spelling of 8432820 in words is "eight million, four hundred thirty-two thousand, eight hundred twenty".