27640100 has 18 divisors (see below), whose sum is σ = 59979234. Its totient is φ = 11056000.

The previous prime is 27640057. The next prime is 27640141. The reversal of 27640100 is 104672.

It can be written as a sum of positive squares in 3 ways, for example, as 98596 + 27541504 = 314^2 + 5248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138101 + ... + 138300.

Almost surely, 2^27640100 is an apocalyptic number.

27640100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27640100 is an abundant number, since it is smaller than the sum of its proper divisors (32339134).

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

27640100 is a wasteful number, since it uses less digits than its factorization.

27640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276415 (or 276408 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27640100 is about 5257.3852816776. The cubic root of 27640100 is about 302.3522489526.

Adding to 27640100 its reverse (104672), we get a palindrome (27744772).

The spelling of 27640100 in words is "twenty-seven million, six hundred forty thousand, one hundred".