27083952 has 120 divisors (see below), whose sum is σ = 87834656. Its totient is φ = 7630848.

The previous prime is 27083951. The next prime is 27083957. The reversal of 27083952 is 25938072.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (27083951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97638 + ... + 97914.

Almost surely, 2^27083952 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 27083952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43917328).

27083952 is an abundant number, since it is smaller than the sum of its proper divisors (60750704).

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

27083952 is a wasteful number, since it uses less digits than its factorization.

27083952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 27083952 is about 5204.2244378966. The cubic root of 27083952 is about 300.3106116237.

The spelling of 27083952 in words is "twenty-seven million, eighty-three thousand, nine hundred fifty-two".