27121140 has 72 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 6916800.

The previous prime is 27121123. The next prime is 27121141. The reversal of 27121140 is 4112172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27121141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^27121140 is an apocalyptic number.

27121140 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 27121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

27121140 is an abundant number, since it is smaller than the sum of its proper divisors (58736268).

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

27121140 is a wasteful number, since it uses less digits than its factorization.

27121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27121140 is about 5207.7960789570. The cubic root of 27121140 is about 300.4479973283.

It can be divided in two parts, 27121 and 140, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 27121140 in words is "twenty-seven million, one hundred twenty-one thousand, one hundred forty".