27148800 has 240 divisors, whose sum is σ = 103511232. Its totient is φ = 6144000.

The previous prime is 27148799. The next prime is 27148801. The reversal of 27148800 is 884172.

It is an interprime number because it is at equal distance from previous prime (27148799) and next prime (27148801).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148801) 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, 268750 + ... + 268850.

Almost surely, 2^27148800 is an apocalyptic number.

27148800 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 27148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755616).

27148800 is an abundant number, since it is smaller than the sum of its proper divisors (76362432).

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

27148800 is a wasteful number, since it uses less digits than its factorization.

27148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 27148800 is about 5210.4510361388. The cubic root of 27148800 is about 300.5501017880.

The spelling of 27148800 in words is "twenty-seven million, one hundred forty-eight thousand, eight hundred".