27714400 has 144 divisors (see below), whose sum is σ = 79682400. Its totient is φ = 9408000.

The previous prime is 27714397. The next prime is 27714409. The reversal of 27714400 is 441772.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27714409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274350 + ... + 274450.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^27714400 is an apocalyptic number.

27714400 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 27714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

27714400 is an abundant number, since it is smaller than the sum of its proper divisors (51968000).

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

27714400 is a wasteful number, since it uses less digits than its factorization.

27714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 27714400 is about 5264.4467895497. The cubic root of 27714400 is about 302.6229266123.

The spelling of 27714400 in words is "twenty-seven million, seven hundred fourteen thousand, four hundred".