630876960 has 216 divisors, whose sum is σ = 2504636316. Its totient is φ = 144184320.

The previous prime is 630876949. The next prime is 630876989. The reversal of 630876960 is 69678036.

630876960 is a `hidden beast` number, since 630 + 8 + 7 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 630813456 + 63504 = 25116^2 + 252^2 .

It is a super-3 number, since 3×630876960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66090 + ... + 75030.

Almost surely, 2^630876960 is an apocalyptic number.

630876960 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 630876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252318158).

630876960 is an abundant number, since it is smaller than the sum of its proper divisors (1873759356).

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

630876960 is a wasteful number, since it uses less digits than its factorization.

630876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 630876960 is about 25117.2641822313. The cubic root of 630876960 is about 857.6594733250.

The spelling of 630876960 in words is "six hundred thirty million, eight hundred seventy-six thousand, nine hundred sixty".