27413064 has 96 divisors (see below), whose sum is σ = 85800000. Its totient is φ = 7744896.

The previous prime is 27413063. The next prime is 27413069. The reversal of 27413064 is 46031472.

It is not an unprimeable number, because it can be changed into a prime (27413063) 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, 54687 + ... + 55185.

It is an arithmetic number, because the mean of its divisors is an integer number (893750).

Almost surely, 2^27413064 is an apocalyptic number.

27413064 is a gapful number since it is divisible by the number (24) 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 27413064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900000).

27413064 is an abundant number, since it is smaller than the sum of its proper divisors (58386936).

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

27413064 is a wasteful number, since it uses less digits than its factorization.

27413064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27413064 is about 5235.7486570690. The cubic root of 27413064 is about 301.5221306660.

The spelling of 27413064 in words is "twenty-seven million, four hundred thirteen thousand, sixty-four".