63612000 has 384 divisors, whose sum is σ = 251596800. Its totient is φ = 15552000.

The previous prime is 63611987. The next prime is 63612023. The reversal of 63612000 is 21636.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 2051985 + ... + 2052015.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^63612000 is an apocalyptic number.

63612000 is a gapful number since it is divisible by the number (60) 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 63612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

63612000 is an abundant number, since it is smaller than the sum of its proper divisors (187984800).

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

63612000 is a wasteful number, since it uses less digits than its factorization.

63612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63612000 is about 7975.7131342595. The cubic root of 63612000 is about 399.1900276356.

Adding to 63612000 its reverse (21636), we get a palindrome (63633636).

The spelling of 63612000 in words is "sixty-three million, six hundred twelve thousand".