27400320 has 192 divisors, whose sum is σ = 97381440. Its totient is φ = 7096320.

The previous prime is 27400319. The next prime is 27400327. The reversal of 27400320 is 2300472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×27400320² = 1501555072204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27400293 and 27400302.

It is not an unprimeable number, because it can be changed into a prime (27400327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385885 + ... + 385955.

It is an arithmetic number, because the mean of its divisors is an integer number (507195).

Almost surely, 2^27400320 is an apocalyptic number.

27400320 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 27400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690720).

27400320 is an abundant number, since it is smaller than the sum of its proper divisors (69981120).

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

27400320 is a wasteful number, since it uses less digits than its factorization.

27400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27400320 is about 5234.5314976605. The cubic root of 27400320 is about 301.4753987666.

Adding to 27400320 its reverse (2300472), we get a palindrome (29700792).

The spelling of 27400320 in words is "twenty-seven million, four hundred thousand, three hundred twenty".