42868800 has 252 divisors, whose sum is σ = 164802820. Its totient is φ = 10506240.

The previous prime is 42868783. The next prime is 42868817. The reversal of 42868800 is 886824.

It is an interprime number because it is at equal distance from previous prime (42868783) and next prime (42868817).

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 42614784 = 504^2 + 6528^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 187086 + ... + 187314.

Almost surely, 2^42868800 is an apocalyptic number.

42868800 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 42868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82401410).

42868800 is an abundant number, since it is smaller than the sum of its proper divisors (121934020).

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

42868800 is a wasteful number, since it uses less digits than its factorization.

42868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42868800 is about 6547.4269755378. The cubic root of 42868800 is about 349.9831284384.

The spelling of 42868800 in words is "forty-two million, eight hundred sixty-eight thousand, eight hundred".