542644560 has 120 divisors (see below), whose sum is σ = 1918344480. Its totient is φ = 137085696.

The previous prime is 542644547. The next prime is 542644603. The reversal of 542644560 is 65446245.

542644560 is a `hidden beast` number, since 5 + 4 + 2 + 644 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6154 + ... + 33513.

It is an arithmetic number, because the mean of its divisors is an integer number (15986204).

Almost surely, 2^542644560 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 542644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959172240).

542644560 is an abundant number, since it is smaller than the sum of its proper divisors (1375699920).

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

542644560 is a wasteful number, since it uses less digits than its factorization.

542644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39705 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 542644560 is about 23294.7324517797. The cubic root of 542644560 is about 815.6524615759.

The spelling of 542644560 in words is "five hundred forty-two million, six hundred forty-four thousand, five hundred sixty".