27224064 has 144 divisors (see below), whose sum is σ = 90286560. Its totient is φ = 7741440.

The previous prime is 27224039. The next prime is 27224077. The reversal of 27224064 is 46042272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27224064² = 1482299321352192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128919 + ... + 129129.

It is an arithmetic number, because the mean of its divisors is an integer number (626990).

Almost surely, 2^27224064 is an apocalyptic number.

27224064 is a gapful number since it is divisible by the number (24) 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 27224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45143280).

27224064 is an abundant number, since it is smaller than the sum of its proper divisors (63062496).

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

27224064 is a wasteful number, since it uses less digits than its factorization.

27224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 27224064 is about 5217.6684448133. The cubic root of 27224064 is about 300.8275815964.

It can be divided in two parts, 2722 and 4064, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 27224064 in words is "twenty-seven million, two hundred twenty-four thousand, sixty-four".