27456000 has 320 divisors, whose sum is σ = 107243136. Its totient is φ = 6144000.

The previous prime is 27455999. The next prime is 27456001. The reversal of 27456000 is 65472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27455999) and next prime (27456001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27456001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111994 + ... + 2112006.

Almost surely, 2^27456000 is an apocalyptic number.

27456000 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 27456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

27456000 is an abundant number, since it is smaller than the sum of its proper divisors (79787136).

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

27456000 is a wasteful number, since it uses less digits than its factorization.

27456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27456000 is about 5239.8473260201. The cubic root of 27456000 is about 301.6794692870.

The spelling of 27456000 in words is "twenty-seven million, four hundred fifty-six thousand".