27048000 has 336 divisors, whose sum is σ = 108411264. Its totient is φ = 5913600.

The previous prime is 27047971. The next prime is 27048017. The reversal of 27048000 is 84072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175989 + ... + 1176011.

Almost surely, 2^27048000 is an apocalyptic number.

27048000 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 27048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

27048000 is an abundant number, since it is smaller than the sum of its proper divisors (81363264).

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

27048000 is a wasteful number, since it uses less digits than its factorization.

27048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27048000 is about 5200.7691738819. The cubic root of 27048000 is about 300.1776725319.

It can be divided in two parts, 270 and 48000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 27048000 in words is "twenty-seven million, forty-eight thousand".