27707940 has 96 divisors (see below), whose sum is σ = 92856960. Its totient is φ = 6818688.

The previous prime is 27707899. The next prime is 27707983. The reversal of 27707940 is 4970772.

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

It is a junction number, because it is equal to n+sod(n) for n = 27707895 and 27707904.

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 31 ways as a sum of consecutive naturals, for example, 5047 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (967260).

Almost surely, 2^27707940 is an apocalyptic number.

27707940 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 27707940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46428480).

27707940 is an abundant number, since it is smaller than the sum of its proper divisors (65149020).

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

27707940 is a wasteful number, since it uses less digits than its factorization.

27707940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 27707940 is about 5263.8332040444. The cubic root of 27707940 is about 302.5994118087.

The spelling of 27707940 in words is "twenty-seven million, seven hundred seven thousand, nine hundred forty".