27714480 has 80 divisors (see below), whose sum is σ = 88265184. Its totient is φ = 7188480.

The previous prime is 27714469. The next prime is 27714481. The reversal of 27714480 is 8441772.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27714481) 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, 7320 + ... + 10440.

Almost surely, 2^27714480 is an apocalyptic number.

27714480 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 27714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44132592).

27714480 is an abundant number, since it is smaller than the sum of its proper divisors (60550704).

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

27714480 is a wasteful number, since it uses less digits than its factorization.

27714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 27714480 is about 5264.4543876835. The cubic root of 27714480 is about 302.6232177944.

The spelling of 27714480 in words is "twenty-seven million, seven hundred fourteen thousand, four hundred eighty".