42896800 has 108 divisors (see below), whose sum is σ = 110910870. Its totient is φ = 16181760.

The previous prime is 42896767. The next prime is 42896837. The reversal of 42896800 is 869824.

It can be written as a sum of positive squares in 3 ways, for example, as 32216976 + 10679824 = 5676^2 + 3268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42896800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 997579 + ... + 997621.

Almost surely, 2^42896800 is an apocalyptic number.

42896800 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 42896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55455435).

42896800 is an abundant number, since it is smaller than the sum of its proper divisors (68014070).

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

42896800 is a wasteful number, since it uses less digits than its factorization.

42896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 42896800 is about 6549.5648710430. The cubic root of 42896800 is about 350.0593096769.

It can be divided in two parts, 4 and 2896800, that added together give a square (2896804 = 1702²).

The spelling of 42896800 in words is "forty-two million, eight hundred ninety-six thousand, eight hundred".