42065600 has 84 divisors (see below), whose sum is σ = 105448608. Its totient is φ = 16512000.

The previous prime is 42065581. The next prime is 42065603. The reversal of 42065600 is 656024.

It is not an unprimeable number, because it can be changed into a prime (42065603) by changing a digit.

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, 97385 + ... + 97815.

Almost surely, 2^42065600 is an apocalyptic number.

42065600 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 42065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52724304).

42065600 is an abundant number, since it is smaller than the sum of its proper divisors (63383008).

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

42065600 is a wasteful number, since it uses less digits than its factorization.

42065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42065600 is about 6485.7998735700. The cubic root of 42065600 is about 347.7835444345.

The spelling of 42065600 in words is "forty-two million, sixty-five thousand, six hundred".