8394880 has 64 divisors (see below), whose sum is σ = 21634200. Its totient is φ = 3096576.

The previous prime is 8394863. The next prime is 8394887. The reversal of 8394880 is 884938.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 3968064 = 2104^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8394887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7816 + ... + 8824.

Almost surely, 2^8394880 is an apocalyptic number.

8394880 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 8394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817100).

8394880 is an abundant number, since it is smaller than the sum of its proper divisors (13239320).

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

8394880 is a wasteful number, since it uses less digits than its factorization.

8394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 8394880 is about 2897.3919306852. The cubic root of 8394880 is about 203.2379617835.

The spelling of 8394880 in words is "eight million, three hundred ninety-four thousand, eight hundred eighty".