8825400 has 72 divisors (see below), whose sum is σ = 29644680. Its totient is φ = 2352960.

The previous prime is 8825321. The next prime is 8825407. The reversal of 8825400 is 45288.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8825407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 652 + ... + 4251.

Almost surely, 2^8825400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822340).

8825400 is an abundant number, since it is smaller than the sum of its proper divisors (20819280).

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

8825400 is a wasteful number, since it uses less digits than its factorization.

8825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8825400 is about 2970.7574791625. The cubic root of 8825400 is about 206.6544680047.

The spelling of 8825400 in words is "eight million, eight hundred twenty-five thousand, four hundred".