542161620 has 768 divisors, whose sum is σ = 2438553600. Its totient is φ = 96215040.

The previous prime is 542161597. The next prime is 542161639. The reversal of 542161620 is 26161245.

542161620 is a `hidden beast` number, since 5 + 4 + 21 + 616 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9189151 + ... + 9189209.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^542161620 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 542161620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

542161620 is an abundant number, since it is smaller than the sum of its proper divisors (1896391980).

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

542161620 is a wasteful number, since it uses less digits than its factorization.

542161620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 542161620 is about 23284.3642816376. The cubic root of 542161620 is about 815.4104197044.

The spelling of 542161620 in words is "five hundred forty-two million, one hundred sixty-one thousand, six hundred twenty".