27330400 has 72 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 10805760.

The previous prime is 27330389. The next prime is 27330409. The reversal of 27330400 is 403372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27330409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101466 + ... + 101734.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^27330400 is an apocalyptic number.

27330400 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 27330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

27330400 is an abundant number, since it is smaller than the sum of its proper divisors (40165280).

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

27330400 is a wasteful number, since it uses less digits than its factorization.

27330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 27330400 is about 5227.8485058387. The cubic root of 27330400 is about 301.2187458608.

Adding to 27330400 its reverse (403372), we get a palindrome (27733772).

It can be divided in two parts, 27330 and 400, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 27330400 in words is "twenty-seven million, three hundred thirty thousand, four hundred".