27842100 has 216 divisors, whose sum is σ = 96972960. Its totient is φ = 6124800.

The previous prime is 27842081. The next prime is 27842147. The reversal of 27842100 is 124872.

It is a congruent number.

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, 471871 + ... + 471929.

Almost surely, 2^27842100 is an apocalyptic number.

27842100 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 27842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48486480).

27842100 is an abundant number, since it is smaller than the sum of its proper divisors (69130860).

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

27842100 is a wasteful number, since it uses less digits than its factorization.

27842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 27842100 is about 5276.5613802930. The cubic root of 27842100 is about 303.0870144061.

Adding to 27842100 its reverse (124872), we get a palindrome (27966972).

It can be divided in two parts, 2784 and 2100, that added together give a palindrome (4884).

The spelling of 27842100 in words is "twenty-seven million, eight hundred forty-two thousand, one hundred".