27057680 has 40 divisors (see below), whose sum is σ = 67750872. Its totient is φ = 9990144.

The previous prime is 27057677. The next prime is 27057689. The reversal of 27057680 is 8675072.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 25240576 = 1348^2 + 5024^2 .

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 27057680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27057689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11969 + ... + 14048.

Almost surely, 2^27057680 is an apocalyptic number.

27057680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27057680 is an abundant number, since it is smaller than the sum of its proper divisors (40693192).

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

27057680 is a wasteful number, since it uses less digits than its factorization.

27057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26043 (or 26037 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 27057680 is about 5201.6997222062. The cubic root of 27057680 is about 300.2134776845.

The spelling of 27057680 in words is "twenty-seven million, fifty-seven thousand, six hundred eighty".