548582112 has 288 divisors, whose sum is σ = 1841263200. Its totient is φ = 158865408.

The previous prime is 548582093. The next prime is 548582119. The reversal of 548582112 is 211285845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (548582119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32269528 + ... + 32269544.

It is an arithmetic number, because the mean of its divisors is an integer number (6393275).

Almost surely, 2^548582112 is an apocalyptic number.

548582112 is a gapful number since it is divisible by the number (52) 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 548582112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920631600).

548582112 is an abundant number, since it is smaller than the sum of its proper divisors (1292681088).

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

548582112 is a wasteful number, since it uses less digits than its factorization.

548582112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 548582112 is about 23421.8298175014. The cubic root of 548582112 is about 818.6166005922.

It can be divided in two parts, 548 and 582112, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 548582112 in words is "five hundred forty-eight million, five hundred eighty-two thousand, one hundred twelve".