542187936 has 288 divisors, whose sum is σ = 1741089168. Its totient is φ = 159252480.

The previous prime is 542187929. The next prime is 542187937. The reversal of 542187936 is 639781245.

542187936 is a `hidden beast` number, since 542 + 1 + 8 + 79 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 339296400 + 202891536 = 18420^2 + 14244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 542187891 and 542187900.

It is not an unprimeable number, because it can be changed into a prime (542187937) 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, 7427196 + ... + 7427268.

Almost surely, 2^542187936 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 542187936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870544584).

542187936 is an abundant number, since it is smaller than the sum of its proper divisors (1198901232).

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

542187936 is a wasteful number, since it uses less digits than its factorization.

542187936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 542187936 is about 23284.9293750271. The cubic root of 542187936 is about 815.4236125683.

The spelling of 542187936 in words is "five hundred forty-two million, one hundred eighty-seven thousand, nine hundred thirty-six".