542035584 has 192 divisors, whose sum is σ = 1657540800. Its totient is φ = 174343680.

The previous prime is 542035583. The next prime is 542035639. The reversal of 542035584 is 485530245.

542035584 is a `hidden beast` number, since 5 + 42 + 0 + 35 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (542035583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7634269 + ... + 7634339.

It is an arithmetic number, because the mean of its divisors is an integer number (8633025).

Almost surely, 2^542035584 is an apocalyptic number.

542035584 is a gapful number since it is divisible by the number (54) 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 542035584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828770400).

542035584 is an abundant number, since it is smaller than the sum of its proper divisors (1115505216).

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

542035584 is an equidigital number, since it uses as much as digits as its factorization.

542035584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 542035584 is about 23281.6576729407. The cubic root of 542035584 is about 815.3472288104.

The spelling of 542035584 in words is "five hundred forty-two million, thirty-five thousand, five hundred eighty-four".