8918400 has 96 divisors (see below), whose sum is σ = 29406600. Its totient is φ = 2375680.

The previous prime is 8918347. The next prime is 8918407. The reversal of 8918400 is 48198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8918407) 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, 9136 + ... + 10064.

Almost surely, 2^8918400 is an apocalyptic number.

8918400 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 8918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703300).

8918400 is an abundant number, since it is smaller than the sum of its proper divisors (20488200).

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

8918400 is a wasteful number, since it uses less digits than its factorization.

8918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8918400 is about 2986.3690327888. The cubic root of 8918400 is about 207.3778252090.

The spelling of 8918400 in words is "eight million, nine hundred eighteen thousand, four hundred".