27149100 has 144 divisors (see below), whose sum is σ = 90410880. Its totient is φ = 6220800.

The previous prime is 27149099. The next prime is 27149107. The reversal of 27149100 is 194172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27149107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62484 + ... + 62916.

Almost surely, 2^27149100 is an apocalyptic number.

27149100 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 27149100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205440).

27149100 is an abundant number, since it is smaller than the sum of its proper divisors (63261780).

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

27149100 is a wasteful number, since it uses less digits than its factorization.

27149100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 27149100 is about 5210.4798243540. The cubic root of 27149100 is about 300.5512088314.

The spelling of 27149100 in words is "twenty-seven million, one hundred forty-nine thousand, one hundred".