27960840 has 96 divisors (see below), whose sum is σ = 91891800. Its totient is φ = 7372800.

The previous prime is 27960827. The next prime is 27960841. The reversal of 27960840 is 4806972.

27960840 is a `hidden beast` number, since 2 + 7 + 9 + 608 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26563716 + 1397124 = 5154^2 + 1182^2 .

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 = 27960795 and 27960804.

It is not an unprimeable number, because it can be changed into a prime (27960841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35976 + ... + 36744.

Almost surely, 2^27960840 is an apocalyptic number.

27960840 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 27960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945900).

27960840 is an abundant number, since it is smaller than the sum of its proper divisors (63930960).

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

27960840 is a wasteful number, since it uses less digits than its factorization.

27960840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27960840 is about 5287.8010552592. The cubic root of 27960840 is about 303.5172682551.

The spelling of 27960840 in words is "twenty-seven million, nine hundred sixty thousand, eight hundred forty".