27946401 has 32 divisors (see below), whose sum is σ = 44563200. Its totient is φ = 15240960.

The previous prime is 27946393. The next prime is 27946411. The reversal of 27946401 is 10464972.

27946401 = T₁₃₃ + T₁₃₄ + ... + T₅₅₃.

It is a happy number.

It is not a de Polignac number, because 27946401 - 2³ = 27946393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27946411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66171 + ... + 66591.

It is an arithmetic number, because the mean of its divisors is an integer number (1392600).

Almost surely, 2^27946401 is an apocalyptic number.

27946401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27946401 is a deficient number, since it is larger than the sum of its proper divisors (16616799).

27946401 is a wasteful number, since it uses less digits than its factorization.

27946401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 27946401 is about 5286.4355666176. The cubic root of 27946401 is about 303.4650137398.

The spelling of 27946401 in words is "twenty-seven million, nine hundred forty-six thousand, four hundred one".