630897120 has 384 divisors, whose sum is σ = 2608865280. Its totient is φ = 139345920.

The previous prime is 630897119. The next prime is 630897131. The reversal of 630897120 is 21798036.

630897120 is a `hidden beast` number, since 630 + 8 + 9 + 7 + 12 + 0 = 666.

630897120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937104 + ... + 937776.

It is an arithmetic number, because the mean of its divisors is an integer number (6793920).

Almost surely, 2^630897120 is an apocalyptic number.

630897120 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 630897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304432640).

630897120 is an abundant number, since it is smaller than the sum of its proper divisors (1977968160).

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

630897120 is a wasteful number, since it uses less digits than its factorization.

630897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 630897120 is about 25117.6654966181. The cubic root of 630897120 is about 857.6686088786.

The spelling of 630897120 in words is "six hundred thirty million, eight hundred ninety-seven thousand, one hundred twenty".