8854400 has 48 divisors (see below), whose sum is σ = 21881040. Its totient is φ = 3540480.

The previous prime is 8854387. The next prime is 8854409. The reversal of 8854400 is 44588.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8854409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1817 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (455855).

Almost surely, 2^8854400 is an apocalyptic number.

8854400 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 8854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940520).

8854400 is an abundant number, since it is smaller than the sum of its proper divisors (13026640).

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

8854400 is a wasteful number, since it uses less digits than its factorization.

8854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8854400 is about 2975.6343861436. The cubic root of 8854400 is about 206.8805739896.

Adding to 8854400 its reverse (44588), we get a palindrome (8898988).

The spelling of 8854400 in words is "eight million, eight hundred fifty-four thousand, four hundred".