630168000 has 672 divisors, whose sum is σ = 2698235904. Its totient is φ = 126720000.

The previous prime is 630167983. The next prime is 630168001. The reversal of 630168000 is 861036.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×630168000² = 794223416448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630168001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20327985 + ... + 20328015.

It is an arithmetic number, because the mean of its divisors is an integer number (4015232).

Almost surely, 2^630168000 is an apocalyptic number.

630168000 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 630168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349117952).

630168000 is an abundant number, since it is smaller than the sum of its proper divisors (2068067904).

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

630168000 is a wasteful number, since it uses less digits than its factorization.

630168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 630168000 is about 25103.1472130488. The cubic root of 630168000 is about 857.3380825156.

The spelling of 630168000 in words is "six hundred thirty million, one hundred sixty-eight thousand".