630906240 has 256 divisors, whose sum is σ = 2109784320. Its totient is φ = 160210944.

The previous prime is 630906181. The next prime is 630906251. The reversal of 630906240 is 42609036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 630906198 and 630906207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5896267 + ... + 5896373.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345).

Almost surely, 2^630906240 is an apocalyptic number.

630906240 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 630906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

630906240 is an abundant number, since it is smaller than the sum of its proper divisors (1478878080).

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

630906240 is a wasteful number, since it uses less digits than its factorization.

630906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 630906240 is about 25117.8470414962. The cubic root of 630906240 is about 857.6727415651.

The spelling of 630906240 in words is "six hundred thirty million, nine hundred six thousand, two hundred forty".