27343680 has 224 divisors, whose sum is σ = 107192064. Its totient is φ = 5750784.

The previous prime is 27343669. The next prime is 27343691. The reversal of 27343680 is 8634372.

It is an interprime number because it is at equal distance from previous prime (27343669) and next prime (27343691).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87204 + ... + 87516.

It is an arithmetic number, because the mean of its divisors is an integer number (478536).

Almost surely, 2^27343680 is an apocalyptic number.

27343680 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 27343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53596032).

27343680 is an abundant number, since it is smaller than the sum of its proper divisors (79848384).

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

27343680 is a wasteful number, since it uses less digits than its factorization.

27343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 27343680 is about 5229.1184725535. The cubic root of 27343680 is about 301.2675259398.

The spelling of 27343680 in words is "twenty-seven million, three hundred forty-three thousand, six hundred eighty".