630601920 has 168 divisors, whose sum is σ = 2335993296. Its totient is φ = 155215872.

The previous prime is 630601919. The next prime is 630601931. The reversal of 630601920 is 29106036.

It is a happy number.

630601920 is a `hidden beast` number, since 6 + 30 + 601 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29019 + ... + 45861.

It is an arithmetic number, because the mean of its divisors is an integer number (13904722).

Almost surely, 2^630601920 is an apocalyptic number.

630601920 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 630601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167996648).

630601920 is an abundant number, since it is smaller than the sum of its proper divisors (1705391376).

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

630601920 is a wasteful number, since it uses less digits than its factorization.

630601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16879 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 630601920 is about 25111.7884667739. The cubic root of 630601920 is about 857.5348188283.

Adding to 630601920 its reverse (29106036), we get a palindrome (659707956).

It can be divided in two parts, 63060 and 1920, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 630601920 in words is "six hundred thirty million, six hundred one thousand, nine hundred twenty".