27450144 has 48 divisors (see below), whose sum is σ = 80065440. Its totient is φ = 9149760.

The previous prime is 27450119. The next prime is 27450149. The reversal of 27450144 is 44105472.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27450149) 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 7 ways as a sum of consecutive naturals, for example, 15022 + ... + 16749.

It is an arithmetic number, because the mean of its divisors is an integer number (1668030).

Almost surely, 2^27450144 is an apocalyptic number.

27450144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27450144 is an abundant number, since it is smaller than the sum of its proper divisors (52615296).

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

27450144 is a wasteful number, since it uses less digits than its factorization.

27450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31790 (or 31776 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 27450144 is about 5239.2885013139. The cubic root of 27450144 is about 301.6580196878.

The spelling of 27450144 in words is "twenty-seven million, four hundred fifty thousand, one hundred forty-four".