27660144 has 40 divisors (see below), whose sum is σ = 72673920. Its totient is φ = 9062848.

The previous prime is 27660133. The next prime is 27660151. The reversal of 27660144 is 44106672.

It is a super-2 number, since 2×27660144² = 1530167132201472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^27660144 is an apocalyptic number.

27660144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27660144 is an abundant number, since it is smaller than the sum of its proper divisors (45013776).

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

27660144 is a wasteful number, since it uses less digits than its factorization.

27660144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27660144 is about 5259.2912069974. The cubic root of 27660144 is about 302.4253177201.

The spelling of 27660144 in words is "twenty-seven million, six hundred sixty thousand, one hundred forty-four".