27716480 has 128 divisors (see below), whose sum is σ = 75202560. Its totient is φ = 9676800.

The previous prime is 27716471. The next prime is 27716519. The reversal of 27716480 is 8461772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27716480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218177 + ... + 218303.

It is an arithmetic number, because the mean of its divisors is an integer number (587520).

Almost surely, 2^27716480 is an apocalyptic number.

27716480 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 27716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601280).

27716480 is an abundant number, since it is smaller than the sum of its proper divisors (47486080).

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

27716480 is a wasteful number, since it uses less digits than its factorization.

27716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 27716480 is about 5264.6443374648. The cubic root of 27716480 is about 302.6304971646.

The spelling of 27716480 in words is "twenty-seven million, seven hundred sixteen thousand, four hundred eighty".