27987600 has 120 divisors (see below), whose sum is σ = 91056672. Its totient is φ = 7347200.

The previous prime is 27987587. The next prime is 27987601. The reversal of 27987600 is 678972.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27987601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99460 + ... + 99740.

Almost surely, 2^27987600 is an apocalyptic number.

27987600 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 27987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528336).

27987600 is an abundant number, since it is smaller than the sum of its proper divisors (63069072).

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

27987600 is a wasteful number, since it uses less digits than its factorization.

27987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 27987600 is about 5290.3308025113. The cubic root of 27987600 is about 303.6140647316.

The spelling of 27987600 in words is "twenty-seven million, nine hundred eighty-seven thousand, six hundred".