42836800 has 84 divisors (see below), whose sum is σ = 108141516. Its totient is φ = 16691200.

The previous prime is 42836777. The next prime is 42836809. The reversal of 42836800 is 863824.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12278016 + 30558784 = 3504^2 + 5528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42836809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65274 + ... + 65926.

It is an arithmetic number, because the mean of its divisors is an integer number (1287399).

Almost surely, 2^42836800 is an apocalyptic number.

42836800 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 42836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070758).

42836800 is an abundant number, since it is smaller than the sum of its proper divisors (65304716).

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

42836800 is a wasteful number, since it uses less digits than its factorization.

42836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42836800 is about 6544.9828112838. The cubic root of 42836800 is about 349.8960235360.

The spelling of 42836800 in words is "forty-two million, eight hundred thirty-six thousand, eight hundred".