8688400 has 120 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 2849280.

The previous prime is 8688397. The next prime is 8688409. The reversal of 8688400 is 48868.

8688400 = T₂₂₅ + T₂₂₆ + ... + T₃₉₈.

It is not an unprimeable number, because it can be changed into a prime (8688409) 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, 81147 + ... + 81253.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^8688400 is an apocalyptic number.

8688400 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 8688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

8688400 is an abundant number, since it is smaller than the sum of its proper divisors (16220720).

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

8688400 is a wasteful number, since it uses less digits than its factorization.

8688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8688400 is about 2947.6092006913. The cubic root of 8688400 is about 205.5795616256.

The spelling of 8688400 in words is "eight million, six hundred eighty-eight thousand, four hundred".