630829056 has 208 divisors, whose sum is σ = 1981566720. Its totient is φ = 175964160.

The previous prime is 630829037. The next prime is 630829057. The reversal of 630829056 is 650928036.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×630829056² = 795890595787702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (630829057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757005 + ... + 1757363.

Almost surely, 2^630829056 is an apocalyptic number.

630829056 is a gapful number since it is divisible by the number (66) 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 630829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990783360).

630829056 is an abundant number, since it is smaller than the sum of its proper divisors (1350737664).

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

630829056 is a wasteful number, since it uses less digits than its factorization.

630829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 630829056 is about 25116.3105570862. The cubic root of 630829056 is about 857.6377647289.

The spelling of 630829056 in words is "six hundred thirty million, eight hundred twenty-nine thousand, fifty-six".