27945600 has 192 divisors, whose sum is σ = 95618880. Its totient is φ = 7168000.

The previous prime is 27945563. The next prime is 27945607. The reversal of 27945600 is 654972.

27945600 = 9⁵ + 10⁵ + ... + 23⁵.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (27945607) 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, 393565 + ... + 393635.

It is an arithmetic number, because the mean of its divisors is an integer number (498015).

Almost surely, 2^27945600 is an apocalyptic number.

27945600 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 27945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

27945600 is an abundant number, since it is smaller than the sum of its proper divisors (67673280).

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

27945600 is a wasteful number, since it uses less digits than its factorization.

27945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 27945600 is about 5286.3598061426. The cubic root of 27945600 is about 303.4621144064.

The spelling of 27945600 in words is "twenty-seven million, nine hundred forty-five thousand, six hundred".