27727040 has 56 divisors (see below), whose sum is σ = 72036432. Its totient is φ = 10081280.

The previous prime is 27727027. The next prime is 27727043. The reversal of 27727040 is 4072772.

It is a junction number, because it is equal to n+sod(n) for n = 27726994 and 27727012.

It is not an unprimeable number, because it can be changed into a prime (27727043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419 + ... + 7458.

Almost surely, 2^27727040 is an apocalyptic number.

27727040 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 27727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018216).

27727040 is an abundant number, since it is smaller than the sum of its proper divisors (44309392).

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

27727040 is a wasteful number, since it uses less digits than its factorization.

27727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 27727040 is about 5265.6471587071. The cubic root of 27727040 is about 302.6689264345.

The spelling of 27727040 in words is "twenty-seven million, seven hundred twenty-seven thousand, forty".