27340632 has 128 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 8035200.

The previous prime is 27340619. The next prime is 27340637. The reversal of 27340632 is 23604372.

27340632 is a `hidden beast` number, since 27 + 3 + 4 + 0 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27340596 and 27340605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27340637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87757 + ... + 88067.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^27340632 is an apocalyptic number.

27340632 is a gapful number since it is divisible by the number (22) 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 27340632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42681600).

27340632 is an abundant number, since it is smaller than the sum of its proper divisors (58022568).

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

27340632 is a wasteful number, since it uses less digits than its factorization.

27340632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 27340632 is about 5228.8270195140. The cubic root of 27340632 is about 301.2563314269.

It can be divided in two parts, 27340 and 632, that added together give a palindrome (27972).

The spelling of 27340632 in words is "twenty-seven million, three hundred forty thousand, six hundred thirty-two".