27468480 has 224 divisors, whose sum is σ = 98316288. Its totient is φ = 6451200.

The previous prime is 27468479. The next prime is 27468487. The reversal of 27468480 is 8486472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (27468487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386845 + ... + 386915.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 2^27468480 is an apocalyptic number.

27468480 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 27468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

27468480 is an abundant number, since it is smaller than the sum of its proper divisors (70847808).

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

27468480 is a wasteful number, since it uses less digits than its factorization.

27468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 27468480 is about 5241.0380651165. The cubic root of 27468480 is about 301.7251713736.

The spelling of 27468480 in words is "twenty-seven million, four hundred sixty-eight thousand, four hundred eighty".