27342000 has 360 divisors, whose sum is σ = 114671232. Its totient is φ = 6048000.

The previous prime is 27341989. The next prime is 27342017. The reversal of 27342000 is 24372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881985 + ... + 882015.

Almost surely, 2^27342000 is an apocalyptic number.

27342000 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 27342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335616).

27342000 is an abundant number, since it is smaller than the sum of its proper divisors (87329232).

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

27342000 is a wasteful number, since it uses less digits than its factorization.

27342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27342000 is about 5228.9578311553. The cubic root of 27342000 is about 301.2613558388.

Adding to 27342000 its reverse (24372), we get a palindrome (27366372).

The spelling of 27342000 in words is "twenty-seven million, three hundred forty-two thousand".