27140064 has 48 divisors (see below), whose sum is σ = 81422208. Its totient is φ = 7754112.

The previous prime is 27140063. The next prime is 27140101. The reversal of 27140064 is 46004172.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27140063) 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, 19522 + ... + 20865.

It is an arithmetic number, because the mean of its divisors is an integer number (1696296).

Almost surely, 2^27140064 is an apocalyptic number.

27140064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27140064 is an abundant number, since it is smaller than the sum of its proper divisors (54282144).

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

27140064 is a wasteful number, since it uses less digits than its factorization.

27140064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40407 (or 40399 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27140064 is about 5209.6126535473. The cubic root of 27140064 is about 300.5178611074.

The spelling of 27140064 in words is "twenty-seven million, one hundred forty thousand, sixty-four".