27661340 has 48 divisors (see below), whose sum is σ = 69888000. Its totient is φ = 8983872.

The previous prime is 27661313. The next prime is 27661343. The reversal of 27661340 is 4316672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 2^27661340 is an apocalyptic number.

27661340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27661340 is an abundant number, since it is smaller than the sum of its proper divisors (42226660).

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

27661340 is a wasteful number, since it uses less digits than its factorization.

27661340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 27661340 is about 5259.4049093030. The cubic root of 27661340 is about 302.4296765245.

It can be divided in two parts, 276 and 61340, that added together give a palindrome (61616).

The spelling of 27661340 in words is "twenty-seven million, six hundred sixty-one thousand, three hundred forty".