27630720 has 320 divisors, whose sum is σ = 108856440. Its totient is φ = 6635520.

The previous prime is 27630697. The next prime is 27630727. The reversal of 27630720 is 2703672.

27630720 is a `hidden beast` number, since 2 + 7 + 630 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 18045504 = 3096^2 + 4248^2 .

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 (27).

It is not an unprimeable number, because it can be changed into a prime (27630727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673900 + ... + 673940.

Almost surely, 2^27630720 is an apocalyptic number.

27630720 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 27630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54428220).

27630720 is an abundant number, since it is smaller than the sum of its proper divisors (81225720).

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

27630720 is a wasteful number, since it uses less digits than its factorization.

27630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 27630720 is about 5256.4931275519. The cubic root of 27630720 is about 302.3180427935.

The spelling of 27630720 in words is "twenty-seven million, six hundred thirty thousand, seven hundred twenty".