27198400 has 84 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 10700800.

The previous prime is 27198389. The next prime is 27198407. The reversal of 27198400 is 489172.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27198407) by changing a digit.

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, 142305 + ... + 142495.

Almost surely, 2^27198400 is an apocalyptic number.

27198400 is a gapful number since it is divisible by the number (20) 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 27198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).

27198400 is an abundant number, since it is smaller than the sum of its proper divisors (40832960).

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

27198400 is a wasteful number, since it uses less digits than its factorization.

27198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 27198400 is about 5215.2085289085. The cubic root of 27198400 is about 300.7330222838.

The spelling of 27198400 in words is "twenty-seven million, one hundred ninety-eight thousand, four hundred".