42116760 has 192 divisors, whose sum is σ = 162489600. Its totient is φ = 9611136.

The previous prime is 42116759. The next prime is 42116777. The reversal of 42116760 is 6761124.

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 47 ways as a sum of consecutive naturals, for example, 67731 + ... + 68349.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^42116760 is an apocalyptic number.

42116760 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 42116760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42116760 is an abundant number, since it is smaller than the sum of its proper divisors (120372840).

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

42116760 is a wasteful number, since it uses less digits than its factorization.

42116760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

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

The square root of 42116760 is about 6489.7426759464. The cubic root of 42116760 is about 347.9244782609.

Adding to 42116760 its reverse (6761124), we get a palindrome (48877884).

The spelling of 42116760 in words is "forty-two million, one hundred sixteen thousand, seven hundred sixty".