27252480 has 144 divisors (see below), whose sum is σ = 89478144. Its totient is φ = 7065600.

The previous prime is 27252473. The next prime is 27252481. The reversal of 27252480 is 8425272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27252481) 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 15 ways as a sum of consecutive naturals, for example, 180405 + ... + 180555.

It is an arithmetic number, because the mean of its divisors is an integer number (621376).

Almost surely, 2^27252480 is an apocalyptic number.

27252480 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 27252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44739072).

27252480 is an abundant number, since it is smaller than the sum of its proper divisors (62225664).

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

27252480 is a wasteful number, since it uses less digits than its factorization.

27252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 27252480 is about 5220.3907899697. The cubic root of 27252480 is about 300.9322113838.

The spelling of 27252480 in words is "twenty-seven million, two hundred fifty-two thousand, four hundred eighty".