54380820 has 144 divisors (see below), whose sum is σ = 171182592. Its totient is φ = 12879360.

The previous prime is 54380791. The next prime is 54380827. The reversal of 54380820 is 2808345.

54380820 = T₁₇₂ + T₁₇₃ + ... + T₆₉₁.

54380820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (54380827) 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 47 ways as a sum of consecutive naturals, for example, 314254 + ... + 314426.

It is an arithmetic number, because the mean of its divisors is an integer number (1188768).

Almost surely, 2^54380820 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 54380820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85591296).

54380820 is an abundant number, since it is smaller than the sum of its proper divisors (116801772).

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

54380820 is a wasteful number, since it uses less digits than its factorization.

54380820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54380820 is about 7374.3352242762. The cubic root of 54380820 is about 378.8627587458.

The spelling of 54380820 in words is "fifty-four million, three hundred eighty thousand, eight hundred twenty".