27642000 has 160 divisors (see below), whose sum is σ = 94708224. Its totient is φ = 6912000.

The previous prime is 27641921. The next prime is 27642001. The reversal of 27642000 is 24672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27642001) 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, 101865 + ... + 102135.

Almost surely, 2^27642000 is an apocalyptic number.

27642000 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 27642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

27642000 is an abundant number, since it is smaller than the sum of its proper divisors (67066224).

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

27642000 is a wasteful number, since it uses less digits than its factorization.

27642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 27642000 is about 5257.5659767615. The cubic root of 27642000 is about 302.3591767629.

Adding to 27642000 its reverse (24672), we get a palindrome (27666672).

The spelling of 27642000 in words is "twenty-seven million, six hundred forty-two thousand".