42006600 has 120 divisors (see below), whose sum is σ = 145951410. Its totient is φ = 11197440.

The previous prime is 42006557. The next prime is 42006611. The reversal of 42006600 is 660024.

42006600 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 660 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32970564 + 9036036 = 5742^2 + 3006^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

42006600 is a modest number, since divided by 6600 gives 4200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14904 + ... + 17496.

Almost surely, 2^42006600 is an apocalyptic number.

42006600 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 42006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72975705).

42006600 is an abundant number, since it is smaller than the sum of its proper divisors (103944810).

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

42006600 is a wasteful number, since it uses less digits than its factorization.

42006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42006600 is about 6481.2498794600. The cubic root of 42006600 is about 347.6208712936.

Adding to 42006600 its reverse (660024), we get a palindrome (42666624).

The spelling of 42006600 in words is "forty-two million, six thousand, six hundred".