27664020 has 36 divisors (see below), whose sum is σ = 83914740. Its totient is φ = 7377024.

The previous prime is 27664003. The next prime is 27664027. The reversal of 27664020 is 2046672.

It can be written as a sum of positive squares in 2 ways, for example, as 21846276 + 5817744 = 4674^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76665 + ... + 77024.

It is an arithmetic number, because the mean of its divisors is an integer number (2330965).

Almost surely, 2^27664020 is an apocalyptic number.

27664020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27664020 is an abundant number, since it is smaller than the sum of its proper divisors (56250720).

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

27664020 is a wasteful number, since it uses less digits than its factorization.

27664020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153704 (or 153699 counting only the distinct ones).

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

The square root of 27664020 is about 5259.6596848085. The cubic root of 27664020 is about 302.4394432887.

It can be divided in two parts, 2766 and 4020, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 27664020 in words is "twenty-seven million, six hundred sixty-four thousand, twenty".