27420600 has 96 divisors (see below), whose sum is σ = 88744320. Its totient is φ = 6990720.

The previous prime is 27420583. The next prime is 27420611. The reversal of 27420600 is 602472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12807 + ... + 14793.

It is an arithmetic number, because the mean of its divisors is an integer number (924420).

Almost surely, 2^27420600 is an apocalyptic number.

27420600 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 27420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44372160).

27420600 is an abundant number, since it is smaller than the sum of its proper divisors (61323720).

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

27420600 is a wasteful number, since it uses less digits than its factorization.

27420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

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

The square root of 27420600 is about 5236.4682754696. The cubic root of 27420600 is about 301.5497581576.

The spelling of 27420600 in words is "twenty-seven million, four hundred twenty thousand, six hundred".