8138400 has 72 divisors (see below), whose sum is σ = 26498304. Its totient is φ = 2169600.

The previous prime is 8138387. The next prime is 8138413. The reversal of 8138400 is 48318.

It is an interprime number because it is at equal distance from previous prime (8138387) and next prime (8138413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (368032).

Almost surely, 2^8138400 is an apocalyptic number.

8138400 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 8138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249152).

8138400 is an abundant number, since it is smaller than the sum of its proper divisors (18359904).

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

8138400 is a wasteful number, since it uses less digits than its factorization.

8138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8138400 is about 2852.7881099023. The cubic root of 8138400 is about 201.1467456389.

The spelling of 8138400 in words is "eight million, one hundred thirty-eight thousand, four hundred".