27347040 has 144 divisors (see below), whose sum is σ = 106692768. Its totient is φ = 6248448.

The previous prime is 27347027. The next prime is 27347051. The reversal of 27347040 is 4074372.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 27346995 and 27347013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8724 + ... + 11436.

It is an arithmetic number, because the mean of its divisors is an integer number (740922).

Almost surely, 2^27347040 is an apocalyptic number.

27347040 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 27347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53346384).

27347040 is an abundant number, since it is smaller than the sum of its proper divisors (79345728).

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

27347040 is a wasteful number, since it uses less digits than its factorization.

27347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 27347040 is about 5229.4397405458. The cubic root of 27347040 is about 301.2798653839.

The spelling of 27347040 in words is "twenty-seven million, three hundred forty-seven thousand, forty".