8506400 has 144 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2822400.

The previous prime is 8506391. The next prime is 8506403. The reversal of 8506400 is 46058.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8506403) 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 23 ways as a sum of consecutive naturals, for example, 274385 + ... + 274415.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^8506400 is an apocalyptic number.

8506400 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 8506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

8506400 is an abundant number, since it is smaller than the sum of its proper divisors (16492000).

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

8506400 is a wasteful number, since it uses less digits than its factorization.

8506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 8506400 is about 2916.5733318400. The cubic root of 8506400 is about 204.1339630157.

The spelling of 8506400 in words is "eight million, five hundred six thousand, four hundred".