27941400 has 216 divisors, whose sum is σ = 101338380. Its totient is φ = 6894720.

The previous prime is 27941371. The next prime is 27941423. The reversal of 27941400 is 414972.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 649779 + ... + 649821.

Almost surely, 2^27941400 is an apocalyptic number.

27941400 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 27941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50669190).

27941400 is an abundant number, since it is smaller than the sum of its proper divisors (73396980).

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

27941400 is a wasteful number, since it uses less digits than its factorization.

27941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27941400 is about 5285.9625424326. The cubic root of 27941400 is about 303.4469110025.

The spelling of 27941400 in words is "twenty-seven million, nine hundred forty-one thousand, four hundred".