27630100 has 36 divisors (see below), whose sum is σ = 63488124. Its totient is φ = 10401280.

The previous prime is 27630089. The next prime is 27630101. The reversal of 27630100 is 103672.

It can be written as a sum of positive squares in 6 ways, for example, as 298116 + 27331984 = 546^2 + 5228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27630101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6427 + ... + 9826.

It is an arithmetic number, because the mean of its divisors is an integer number (1763559).

Almost surely, 2^27630100 is an apocalyptic number.

27630100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27630100 is an abundant number, since it is smaller than the sum of its proper divisors (35858024).

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

27630100 is a wasteful number, since it uses less digits than its factorization.

27630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16284 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 27630100 is about 5256.4341525411. The cubic root of 27630100 is about 302.3157815593.

Adding to 27630100 its reverse (103672), we get a palindrome (27733772).

It can be divided in two parts, 27630 and 100, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 27630100 in words is "twenty-seven million, six hundred thirty thousand, one hundred".