27368640 has 336 divisors, whose sum is σ = 109837728. Its totient is φ = 6193152.

The previous prime is 27368609. The next prime is 27368717. The reversal of 27368640 is 4686372.

27368640 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27368595 and 27368604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636459 + ... + 636501.

It is an arithmetic number, because the mean of its divisors is an integer number (326898).

Almost surely, 2^27368640 is an apocalyptic number.

27368640 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 27368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918864).

27368640 is an abundant number, since it is smaller than the sum of its proper divisors (82469088).

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

27368640 is a wasteful number, since it uses less digits than its factorization.

27368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 27368640 is about 5231.5045636987. The cubic root of 27368640 is about 301.3591662576.

The spelling of 27368640 in words is "twenty-seven million, three hundred sixty-eight thousand, six hundred forty".