27468720 has 160 divisors (see below), whose sum is σ = 96392640. Its totient is φ = 7278336.

The previous prime is 27468709. The next prime is 27468733. The reversal of 27468720 is 2786472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174882 + ... + 175038.

It is an arithmetic number, because the mean of its divisors is an integer number (602454).

Almost surely, 2^27468720 is an apocalyptic number.

27468720 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 27468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48196320).

27468720 is an abundant number, since it is smaller than the sum of its proper divisors (68923920).

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

27468720 is an equidigital number, since it uses as much as digits as its factorization.

27468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27468720 is about 5241.0609612940. The cubic root of 27468720 is about 301.7260501242.

The spelling of 27468720 in words is "twenty-seven million, four hundred sixty-eight thousand, seven hundred twenty".