8018400 has 144 divisors (see below), whose sum is σ = 28216944. Its totient is φ = 1966080.

The previous prime is 8018383. The next prime is 8018419. The reversal of 8018400 is 48108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31072 + ... + 31328.

It is an arithmetic number, because the mean of its divisors is an integer number (195951).

Almost surely, 2^8018400 is an apocalyptic number.

8018400 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 8018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108472).

8018400 is an abundant number, since it is smaller than the sum of its proper divisors (20198544).

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

8018400 is a wasteful number, since it uses less digits than its factorization.

8018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8018400 is about 2831.6779477900. The cubic root of 8018400 is about 200.1532159278.

The spelling of 8018400 in words is "eight million, eighteen thousand, four hundred".