542687040 has 336 divisors, whose sum is σ = 2214506112. Its totient is φ = 123918336.

The previous prime is 542687011. The next prime is 542687077. The reversal of 542687040 is 40786245.

542687040 is a `hidden beast` number, since 542 + 6 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 542686986 and 542687004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543822 + ... + 544818.

It is an arithmetic number, because the mean of its divisors is an integer number (6590792).

Almost surely, 2^542687040 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 542687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107253056).

542687040 is an abundant number, since it is smaller than the sum of its proper divisors (1671819072).

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

542687040 is an equidigital number, since it uses as much as digits as its factorization.

542687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 542687040 is about 23295.6442280526. The cubic root of 542687040 is about 815.6737450059.

The spelling of 542687040 in words is "five hundred forty-two million, six hundred eighty-seven thousand, forty".