42180768 has 180 divisors, whose sum is σ = 142229178. Its totient is φ = 11854080.

The previous prime is 42180751. The next prime is 42180769. The reversal of 42180768 is 86708124.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 345744 = 6468^2 + 588^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42180769) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691458 + ... + 691518.

Almost surely, 2^42180768 is an apocalyptic number.

42180768 is a gapful number since it is divisible by the number (48) 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 42180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71114589).

42180768 is an abundant number, since it is smaller than the sum of its proper divisors (100048410).

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

42180768 is an equidigital number, since it uses as much as digits as its factorization.

42180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42180768 is about 6494.6722781061. The cubic root of 42180768 is about 348.1006446909.

It can be divided in two parts, 421807 and 68, that added together give a cube (421875 = 75³).

The spelling of 42180768 in words is "forty-two million, one hundred eighty thousand, seven hundred sixty-eight".