27946256 has 80 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 12042240.

The previous prime is 27946241. The next prime is 27946271. The reversal of 27946256 is 65264972.

It is an interprime number because it is at equal distance from previous prime (27946241) and next prime (27946271).

It can be written as a sum of positive squares in 8 ways, for example, as 14137600 + 13808656 = 3760^2 + 3716^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247256 + ... + 247368.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^27946256 is an apocalyptic number.

27946256 is a gapful number since it is divisible by the number (26) 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 27946256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

27946256 is an abundant number, since it is smaller than the sum of its proper divisors (34393504).

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

27946256 is a wasteful number, since it uses less digits than its factorization.

27946256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 27946256 is about 5286.4218522551. The cubic root of 27946256 is about 303.4644888958.

The spelling of 27946256 in words is "twenty-seven million, nine hundred forty-six thousand, two hundred fifty-six".