27478000 has 80 divisors (see below), whose sum is σ = 72540000. Its totient is φ = 9984000.

The previous prime is 27477979. The next prime is 27478007. The reversal of 27478000 is 87472.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 27478000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27478007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21376 + ... + 22624.

It is an arithmetic number, because the mean of its divisors is an integer number (906750).

Almost surely, 2^27478000 is an apocalyptic number.

27478000 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 27478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270000).

27478000 is an abundant number, since it is smaller than the sum of its proper divisors (45062000).

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

27478000 is a wasteful number, since it uses less digits than its factorization.

27478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 27478000 is about 5241.9462034630. The cubic root of 27478000 is about 301.7600245563.

The spelling of 27478000 in words is "twenty-seven million, four hundred seventy-eight thousand".