27400100 has 72 divisors (see below), whose sum is σ = 73203648. Its totient is φ = 8668800.

The previous prime is 27400049. The next prime is 27400103. The reversal of 27400100 is 100472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (27400103) 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 23 ways as a sum of consecutive naturals, for example, 7595 + ... + 10605.

Almost surely, 2^27400100 is an apocalyptic number.

27400100 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 27400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36601824).

27400100 is an abundant number, since it is smaller than the sum of its proper divisors (45803548).

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

27400100 is a wasteful number, since it uses less digits than its factorization.

27400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 27400100 is about 5234.5104833212. The cubic root of 27400100 is about 301.4745919054.

Adding to 27400100 its reverse (100472), we get a palindrome (27500572).

The spelling of 27400100 in words is "twenty-seven million, four hundred thousand, one hundred".