27993600 has 240 divisors, whose sum is σ = 104018640. Its totient is φ = 7464960.

The previous prime is 27993587. The next prime is 27993601. The reversal of 27993600 is 639972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27993601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5598718 + ... + 5598722.

It is an arithmetic number, because the mean of its divisors is an integer number (433411).

Almost surely, 2^27993600 is an apocalyptic number.

27993600 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 27993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009320).

27993600 is an abundant number, since it is smaller than the sum of its proper divisors (76025040).

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

27993600 is an frugal number, since it uses more digits than its factorization.

27993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 27993600 is about 5290.8978444117. The cubic root of 27993600 is about 303.6357595086.

The spelling of 27993600 in words is "twenty-seven million, nine hundred ninety-three thousand, six hundred".