42861600 has 108 divisors (see below), whose sum is σ = 151166106. Its totient is φ = 11427840.

The previous prime is 42861569. The next prime is 42861601. The reversal of 42861600 is 616824.

42861600 is a `hidden beast` number, since 42 + 8 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17338896 + 25522704 = 4164^2 + 5052^2 .

It is not an unprimeable number, because it can be changed into a prime (42861601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4224 + ... + 10176.

Almost surely, 2^42861600 is an apocalyptic number.

42861600 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 42861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75583053).

42861600 is an abundant number, since it is smaller than the sum of its proper divisors (108304506).

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

42861600 is a wasteful number, since it uses less digits than its factorization.

42861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42861600 is about 6546.8771181381. The cubic root of 42861600 is about 349.9635336157.

It can be divided in two parts, 4286 and 1600, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 42861600 in words is "forty-two million, eight hundred sixty-one thousand, six hundred".