27406944 has 48 divisors (see below), whose sum is σ = 79939440. Its totient is φ = 9135360.

The previous prime is 27406937. The next prime is 27406957. The reversal of 27406944 is 44960472.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27406944² = 1502281158838272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27406899 and 27406908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14997 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (1665405).

Almost surely, 2^27406944 is an apocalyptic number.

27406944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27406944 is an abundant number, since it is smaller than the sum of its proper divisors (52532496).

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

27406944 is a wasteful number, since it uses less digits than its factorization.

27406944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31740 (or 31726 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 27406944 is about 5235.1641808066. The cubic root of 27406944 is about 301.4996906014.

The spelling of 27406944 in words is "twenty-seven million, four hundred six thousand, nine hundred forty-four".