630612000 has 192 divisors, whose sum is σ = 2295820800. Its totient is φ = 168134400.

The previous prime is 630611977. The next prime is 630612007. The reversal of 630612000 is 216036.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (630612007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105081 + ... + 110919.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^630612000 is an apocalyptic number.

630612000 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 630612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147910400).

630612000 is an abundant number, since it is smaller than the sum of its proper divisors (1665208800).

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

630612000 is a wasteful number, since it uses less digits than its factorization.

630612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5849 counting only the distinct ones).

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

The square root of 630612000 is about 25111.9891685227. The cubic root of 630612000 is about 857.5393879575.

Adding to 630612000 its reverse (216036), we get a palindrome (630828036).

The spelling of 630612000 in words is "six hundred thirty million, six hundred twelve thousand".