54827280 has 100 divisors (see below), whose sum is σ = 190445772. Its totient is φ = 14618880.

The previous prime is 54827257. The next prime is 54827321. The reversal of 54827280 is 8272845.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 21233664 = 5796^2 + 4608^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2250 + ... + 10710.

Almost surely, 2^54827280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95222886).

54827280 is an abundant number, since it is smaller than the sum of its proper divisors (135618492).

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

54827280 is a wasteful number, since it uses less digits than its factorization.

54827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54827280 is about 7404.5445504771. The cubic root of 54827280 is about 379.8967401795.

The spelling of 54827280 in words is "fifty-four million, eight hundred twenty-seven thousand, two hundred eighty".