27198120 has 128 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 6739200.

The previous prime is 27198107. The next prime is 27198137. The reversal of 27198120 is 2189172.

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

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 31 ways as a sum of consecutive naturals, for example, 180045 + ... + 180195.

It is an arithmetic number, because the mean of its divisors is an integer number (684000).

Almost surely, 2^27198120 is an apocalyptic number.

27198120 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 27198120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776000).

27198120 is an abundant number, since it is smaller than the sum of its proper divisors (60353880).

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

27198120 is a wasteful number, since it uses less digits than its factorization.

27198120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 27198120 is about 5215.1816842752. The cubic root of 27198120 is about 300.7319902925.

The spelling of 27198120 in words is "twenty-seven million, one hundred ninety-eight thousand, one hundred twenty".