27481440 has 96 divisors (see below), whose sum is σ = 98945280. Its totient is φ = 6280704.

The previous prime is 27481423. The next prime is 27481451. The reversal of 27481440 is 4418472.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27481398 and 27481407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 730 + ... + 7449.

It is an arithmetic number, because the mean of its divisors is an integer number (1030680).

Almost surely, 2^27481440 is an apocalyptic number.

27481440 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 27481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472640).

27481440 is an abundant number, since it is smaller than the sum of its proper divisors (71463840).

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

27481440 is a wasteful number, since it uses less digits than its factorization.

27481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 27481440 is about 5242.2743156001. The cubic root of 27481440 is about 301.7726165835.

The spelling of 27481440 in words is "twenty-seven million, four hundred eighty-one thousand, four hundred forty".