27953940 has 192 divisors, whose sum is σ = 98058240. Its totient is φ = 5806080.

The previous prime is 27953917. The next prime is 27953951. The reversal of 27953940 is 4935972.

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 63 ways as a sum of consecutive naturals, for example, 247324 + ... + 247436.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 2^27953940 is an apocalyptic number.

27953940 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 27953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029120).

27953940 is an abundant number, since it is smaller than the sum of its proper divisors (70104300).

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

27953940 is a wasteful number, since it uses less digits than its factorization.

27953940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 27953940 is about 5287.1485698815. The cubic root of 27953940 is about 303.4922995078.

The spelling of 27953940 in words is "twenty-seven million, nine hundred fifty-three thousand, nine hundred forty".