27249040 has 160 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 8128512.

The previous prime is 27249029. The next prime is 27249073. The reversal of 27249040 is 4094272.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 138222 + ... + 138418.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^27249040 is an apocalyptic number.

27249040 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 27249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

27249040 is an abundant number, since it is smaller than the sum of its proper divisors (55245680).

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

27249040 is a wasteful number, since it uses less digits than its factorization.

27249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 27249040 is about 5220.0613023220. The cubic root of 27249040 is about 300.9195489232.

The spelling of 27249040 in words is "twenty-seven million, two hundred forty-nine thousand, forty".