27936040 has 64 divisors (see below), whose sum is σ = 69154560. Its totient is φ = 10072320.

The previous prime is 27936011. The next prime is 27936043. The reversal of 27936040 is 4063972.

It is a junction number, because it is equal to n+sod(n) for n = 27935993 and 27936011.

It is not an unprimeable number, because it can be changed into a prime (27936043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75937 + ... + 76303.

It is an arithmetic number, because the mean of its divisors is an integer number (1080540).

It is a vampire number, since it can be written as 4037 ⋅ 6920 (with its own digits).

Almost surely, 2^27936040 is an apocalyptic number.

27936040 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 27936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577280).

27936040 is an abundant number, since it is smaller than the sum of its proper divisors (41218520).

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

27936040 is a wasteful number, since it uses less digits than its factorization.

27936040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 27936040 is about 5285.4555149012. The cubic root of 27936040 is about 303.4275063501.

The spelling of 27936040 in words is "twenty-seven million, nine hundred thirty-six thousand, forty".