42161760 has 288 divisors, whose sum is σ = 160392960. Its totient is φ = 10036224.

The previous prime is 42161723. The next prime is 42161803. The reversal of 42161760 is 6716124.

42161760 is a `hidden beast` number, since 42 + 1 + 617 + 6 + 0 = 666.

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

It is a super-2 number, since 2×42161760² = 3555228012595200, which contains 22 as substring.

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, 629247 + ... + 629313.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^42161760 is an apocalyptic number.

42161760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

42161760 is an abundant number, since it is smaller than the sum of its proper divisors (118231200).

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

42161760 is a wasteful number, since it uses less digits than its factorization.

42161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42161760 is about 6493.2087599276. The cubic root of 42161760 is about 348.0483484153.

Adding to 42161760 its reverse (6716124), we get a palindrome (48877884).

The spelling of 42161760 in words is "forty-two million, one hundred sixty-one thousand, seven hundred sixty".