8394400 has 72 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 2876160.

The previous prime is 8394383. The next prime is 8394403. The reversal of 8394400 is 44938.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8394403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4851 + ... + 6349.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 2^8394400 is an apocalyptic number.

8394400 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 8394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

8394400 is an abundant number, since it is smaller than the sum of its proper divisors (15041600).

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

8394400 is a wasteful number, since it uses less digits than its factorization.

8394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8394400 is about 2897.3090963858. The cubic root of 8394400 is about 203.2340881494.

The spelling of 8394400 in words is "eight million, three hundred ninety-four thousand, four hundred".