27242800 has 120 divisors (see below), whose sum is σ = 73189760. Its totient is φ = 9734400.

The previous prime is 27242791. The next prime is 27242807. The reversal of 27242800 is 824272.

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

It is not an unprimeable number, because it can be changed into a prime (27242807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878785 + ... + 878815.

Almost surely, 2^27242800 is an apocalyptic number.

27242800 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 27242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594880).

27242800 is an abundant number, since it is smaller than the sum of its proper divisors (45946960).

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

27242800 is a wasteful number, since it uses less digits than its factorization.

27242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 27242800 is about 5219.4635739700. The cubic root of 27242800 is about 300.8965770884.

The spelling of 27242800 in words is "twenty-seven million, two hundred forty-two thousand, eight hundred".