27801144 has 128 divisors (see below), whose sum is σ = 89740800. Its totient is φ = 7908192.

The previous prime is 27801143. The next prime is 27801167. The reversal of 27801144 is 44110872.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27801143) 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 31 ways as a sum of consecutive naturals, for example, 122359 + ... + 122585.

It is an arithmetic number, because the mean of its divisors is an integer number (701100).

Almost surely, 2^27801144 is an apocalyptic number.

27801144 is a gapful number since it is divisible by the number (24) 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 27801144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870400).

27801144 is an abundant number, since it is smaller than the sum of its proper divisors (61939656).

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

27801144 is an equidigital number, since it uses as much as digits as its factorization.

27801144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 27801144 is about 5272.6790154532. The cubic root of 27801144 is about 302.9383268263.

The spelling of 27801144 in words is "twenty-seven million, eight hundred one thousand, one hundred forty-four".