42683600 has 60 divisors (see below), whose sum is σ = 108596844. Its totient is φ = 16066560.

The previous prime is 42683587. The next prime is 42683639. The reversal of 42683600 is 638624.

It can be written as a sum of positive squares in 6 ways, for example, as 4293184 + 38390416 = 2072^2 + 6196^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3662 + ... + 9938.

Almost surely, 2^42683600 is an apocalyptic number.

42683600 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 42683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54298422).

42683600 is an abundant number, since it is smaller than the sum of its proper divisors (65913244).

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

42683600 is a wasteful number, since it uses less digits than its factorization.

42683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 42683600 is about 6533.2687071634. The cubic root of 42683600 is about 349.4784067467.

The spelling of 42683600 in words is "forty-two million, six hundred eighty-three thousand, six hundred".