27138240 has 168 divisors, whose sum is σ = 97078800. Its totient is φ = 7216128.

The previous prime is 27138233. The next prime is 27138253. The reversal of 27138240 is 4283172.

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

It is a zygodrome in base 2.

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, 77586 + ... + 77934.

It is an arithmetic number, because the mean of its divisors is an integer number (577850).

Almost surely, 2^27138240 is an apocalyptic number.

27138240 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 27138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48539400).

27138240 is an abundant number, since it is smaller than the sum of its proper divisors (69940560).

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

27138240 is an equidigital number, since it uses as much as digits as its factorization.

27138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27138240 is about 5209.4375896060. The cubic root of 27138240 is about 300.5111286637.

The spelling of 27138240 in words is "twenty-seven million, one hundred thirty-eight thousand, two hundred forty".