27954320 has 80 divisors (see below), whose sum is σ = 69906240. Its totient is φ = 10363392.

The previous prime is 27954293. The next prime is 27954323. The reversal of 27954320 is 2345972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (27954323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80387 + ... + 80733.

It is an arithmetic number, because the mean of its divisors is an integer number (873828).

Almost surely, 2^27954320 is an apocalyptic number.

27954320 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 27954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953120).

27954320 is an abundant number, since it is smaller than the sum of its proper divisors (41951920).

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

27954320 is a wasteful number, since it uses less digits than its factorization.

27954320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 27954320 is about 5287.1845059540. The cubic root of 27954320 is about 303.4936747051.

The spelling of 27954320 in words is "twenty-seven million, nine hundred fifty-four thousand, three hundred twenty".