27645960 has 32 divisors (see below), whose sum is σ = 82938240. Its totient is φ = 7372224.

The previous prime is 27645953. The next prime is 27645967. The reversal of 27645960 is 6954672.

It is an interprime number because it is at equal distance from previous prime (27645953) and next prime (27645967).

It is not an unprimeable number, because it can be changed into a prime (27645967) 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, 115072 + ... + 115311.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^27645960 is an apocalyptic number.

27645960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27645960 is an abundant number, since it is smaller than the sum of its proper divisors (55292280).

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

27645960 is a wasteful number, since it uses less digits than its factorization.

27645960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230397 (or 230393 counting only the distinct ones).

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

The square root of 27645960 is about 5257.9425633987. The cubic root of 27645960 is about 302.3736147579.

The spelling of 27645960 in words is "twenty-seven million, six hundred forty-five thousand, nine hundred sixty".