27289440 has 96 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 7276032.

The previous prime is 27289439. The next prime is 27289463. The reversal of 27289440 is 4498272.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27289395 and 27289404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162 + ... + 7478.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^27289440 is an apocalyptic number.

27289440 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 27289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

27289440 is an abundant number, since it is smaller than the sum of its proper divisors (68238720).

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

27289440 is a wasteful number, since it uses less digits than its factorization.

27289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27289440 is about 5223.9295554209. The cubic root of 27289440 is about 301.0681920383.

The spelling of 27289440 in words is "twenty-seven million, two hundred eighty-nine thousand, four hundred forty".