27146960 has 40 divisors (see below), whose sum is σ = 66832776. Its totient is φ = 10219520.

The previous prime is 27146957. The next prime is 27146981. The reversal of 27146960 is 6964172.

It can be written as a sum of positive squares in 4 ways, for example, as 11999296 + 15147664 = 3464^2 + 3892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 27146960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8621 + ... + 11340.

Almost surely, 2^27146960 is an apocalyptic number.

27146960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27146960 is an abundant number, since it is smaller than the sum of its proper divisors (39685816).

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

27146960 is a wasteful number, since it uses less digits than its factorization.

27146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19991 (or 19985 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 27146960 is about 5210.2744649394. The cubic root of 27146960 is about 300.5433117435.

The spelling of 27146960 in words is "twenty-seven million, one hundred forty-six thousand, nine hundred sixty".