630819000 has 768 divisors, whose sum is σ = 2803507200. Its totient is φ = 124416000.

The previous prime is 630818977. The next prime is 630819023. The reversal of 630819000 is 918036.

It is an interprime number because it is at equal distance from previous prime (630818977) and next prime (630819023).

It is a super-2 number, since 2×630819000² = 795865221522000000, which contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 20348985 + ... + 20349015.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2^630819000 is an apocalyptic number.

630819000 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 630819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401753600).

630819000 is an abundant number, since it is smaller than the sum of its proper divisors (2172688200).

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

630819000 is a wasteful number, since it uses less digits than its factorization.

630819000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 630819000 is about 25116.1103676505. The cubic root of 630819000 is about 857.6332075243.

The spelling of 630819000 in words is "six hundred thirty million, eight hundred nineteen thousand".