8181400 has 48 divisors (see below), whose sum is σ = 20032200. Its totient is φ = 3098880.

The previous prime is 8181389. The next prime is 8181421. The reversal of 8181400 is 41818.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2724 + ... + 4876.

Almost surely, 2^8181400 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 8181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016100).

8181400 is an abundant number, since it is smaller than the sum of its proper divisors (11850800).

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

8181400 is a wasteful number, since it uses less digits than its factorization.

8181400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8181400 is about 2860.3146680042. The cubic root of 8181400 is about 201.5003827777.

The spelling of 8181400 in words is "eight million, one hundred eighty-one thousand, four hundred".