27045360 has 160 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 6822144.

The previous prime is 27045353. The next prime is 27045367. The reversal of 27045360 is 6354072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27045353) and next prime (27045367).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27045367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40711 + ... + 41369.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^27045360 is an apocalyptic number.

27045360 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 27045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

27045360 is an abundant number, since it is smaller than the sum of its proper divisors (71162640).

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

27045360 is a wasteful number, since it uses less digits than its factorization.

27045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27045360 is about 5200.5153590774. The cubic root of 27045360 is about 300.1679060077.

The spelling of 27045360 in words is "twenty-seven million, forty-five thousand, three hundred sixty".