27141400 has 144 divisors (see below), whose sum is σ = 75564360. Its totient is φ = 8985600.

The previous prime is 27141391. The next prime is 27141409. The reversal of 27141400 is 414172.

27141400 = T₃₁₅ + T₃₁₆ + ... + T₅₇₈.

It is an interprime number because it is at equal distance from previous prime (27141391) and next prime (27141409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27141409) 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 35 ways as a sum of consecutive naturals, for example, 371764 + ... + 371836.

Almost surely, 2^27141400 is an apocalyptic number.

27141400 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 27141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37782180).

27141400 is an abundant number, since it is smaller than the sum of its proper divisors (48422960).

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

27141400 is a wasteful number, since it uses less digits than its factorization.

27141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 27141400 is about 5209.7408764736. The cubic root of 27141400 is about 300.5227921358.

Adding to 27141400 its reverse (414172), we get a palindrome (27555572).

It can be divided in two parts, 2714 and 1400, that added together give a palindrome (4114).

The spelling of 27141400 in words is "twenty-seven million, one hundred forty-one thousand, four hundred".