27970560 has 132 divisors (see below), whose sum is σ = 97076928. Its totient is φ = 7446528.

The previous prime is 27970517. The next prime is 27970571. The reversal of 27970560 is 6507972.

27970560 is a `hidden beast` number, since 2 + 7 + 97 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45777 + ... + 46383.

Almost surely, 2^27970560 is an apocalyptic number.

27970560 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 27970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48538464).

27970560 is an abundant number, since it is smaller than the sum of its proper divisors (69106368).

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

27970560 is a wasteful number, since it uses less digits than its factorization.

27970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 27970560 is about 5288.7200720023. The cubic root of 27970560 is about 303.5524346528.

The spelling of 27970560 in words is "twenty-seven million, nine hundred seventy thousand, five hundred sixty".