27965640 has 64 divisors (see below), whose sum is σ = 84332160. Its totient is φ = 7418880.

The previous prime is 27965621. The next prime is 27965659. The reversal of 27965640 is 4656972.

It is an interprime number because it is at equal distance from previous prime (27965621) and next prime (27965659).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28437 + ... + 29403.

It is an arithmetic number, because the mean of its divisors is an integer number (1317690).

Almost surely, 2^27965640 is an apocalyptic number.

27965640 is a gapful number since it is divisible by the number (20) 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 27965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166080).

27965640 is an abundant number, since it is smaller than the sum of its proper divisors (56366520).

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

27965640 is a wasteful number, since it uses less digits than its factorization.

27965640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 27965640 is about 5288.2549106487. The cubic root of 27965640 is about 303.5346353958.

The spelling of 27965640 in words is "twenty-seven million, nine hundred sixty-five thousand, six hundred forty".