27121536 has 96 divisors (see below), whose sum is σ = 84094920. Its totient is φ = 8340480.

The previous prime is 27121529. The next prime is 27121547. The reversal of 27121536 is 63512172.

It is a happy number.

27121536 is a `hidden beast` number, since 2 + 7 + 121 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14071 + ... + 15881.

Almost surely, 2^27121536 is an apocalyptic number.

27121536 is a gapful number since it is divisible by the number (26) 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 27121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42047460).

27121536 is an abundant number, since it is smaller than the sum of its proper divisors (56973384).

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

27121536 is a wasteful number, since it uses less digits than its factorization.

27121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1829 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 27121536 is about 5207.8340987401. The cubic root of 27121536 is about 300.4494596172.

The spelling of 27121536 in words is "twenty-seven million, one hundred twenty-one thousand, five hundred thirty-six".