42878160 has 200 divisors, whose sum is σ = 160692840. Its totient is φ = 10533888.

The previous prime is 42878159. The next prime is 42878167. The reversal of 42878160 is 6187824.

42878160 is a `hidden beast` number, since 428 + 78 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 39237696 = 1908^2 + 6264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83986 + ... + 84494.

Almost surely, 2^42878160 is an apocalyptic number.

42878160 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 42878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80346420).

42878160 is an abundant number, since it is smaller than the sum of its proper divisors (117814680).

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

42878160 is a wasteful number, since it uses less digits than its factorization.

42878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

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

The square root of 42878160 is about 6548.1417211297. The cubic root of 42878160 is about 350.0085984282.

The spelling of 42878160 in words is "forty-two million, eight hundred seventy-eight thousand, one hundred sixty".