27940896 has 96 divisors (see below), whose sum is σ = 82797120. Its totient is φ = 9165312.

The previous prime is 27940879. The next prime is 27940897. The reversal of 27940896 is 69804972.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (27940897) 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, 62851 + ... + 63293.

It is an arithmetic number, because the mean of its divisors is an integer number (862470).

Almost surely, 2^27940896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41398560).

27940896 is an abundant number, since it is smaller than the sum of its proper divisors (54856224).

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

27940896 is a wasteful number, since it uses less digits than its factorization.

27940896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27940896 is about 5285.9148687810. The cubic root of 27940896 is about 303.4450864916.

The spelling of 27940896 in words is "twenty-seven million, nine hundred forty thousand, eight hundred ninety-six".