542561760 has 192 divisors, whose sum is σ = 2045252160. Its totient is φ = 133539840.

The previous prime is 542561753. The next prime is 542561771. The reversal of 542561760 is 67165245.

It is a happy number.

542561760 is a `hidden beast` number, since 542 + 56 + 1 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51330 + ... + 60990.

It is an arithmetic number, because the mean of its divisors is an integer number (10652355).

Almost surely, 2^542561760 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 542561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022626080).

542561760 is an abundant number, since it is smaller than the sum of its proper divisors (1502690400).

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

542561760 is a wasteful number, since it uses less digits than its factorization.

542561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 542561760 is about 23292.9551581589. The cubic root of 542561760 is about 815.6109737316.

The spelling of 542561760 in words is "five hundred forty-two million, five hundred sixty-one thousand, seven hundred sixty".