42636000 has 384 divisors, whose sum is σ = 169827840. Its totient is φ = 9216000.

The previous prime is 42635993. The next prime is 42636001. The reversal of 42636000 is 63624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42636001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243991 + ... + 2244009.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^42636000 is an apocalyptic number.

42636000 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 42636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

42636000 is an abundant number, since it is smaller than the sum of its proper divisors (127191840).

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

42636000 is a wasteful number, since it uses less digits than its factorization.

42636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 42636000 is about 6529.6247977966. The cubic root of 42636000 is about 349.3484477012.

Adding to 42636000 its reverse (63624), we get a palindrome (42699624).

The spelling of 42636000 in words is "forty-two million, six hundred thirty-six thousand".