42006000 has 80 divisors (see below), whose sum is σ = 135446688. Its totient is φ = 11200000.

The previous prime is 42005983. The next prime is 42006037. The reversal of 42006000 is 60024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 9500.

Almost surely, 2^42006000 is an apocalyptic number.

42006000 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 42006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67723344).

42006000 is an abundant number, since it is smaller than the sum of its proper divisors (93440688).

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

42006000 is a wasteful number, since it uses less digits than its factorization.

42006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42006000 is about 6481.2035919264. The cubic root of 42006000 is about 347.6192162083.

Adding to 42006000 its reverse (60024), we get a palindrome (42066024).

The spelling of 42006000 in words is "forty-two million, six thousand", and thus it is an eban number.