630825840 has 240 divisors, whose sum is σ = 2296058400. Its totient is φ = 159169536.

The previous prime is 630825829. The next prime is 630825847. The reversal of 630825840 is 48528036.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630825795 and 630825804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630825847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779356 + ... + 780164.

It is an arithmetic number, because the mean of its divisors is an integer number (9566910).

Almost surely, 2^630825840 is an apocalyptic number.

630825840 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 630825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148029200).

630825840 is an abundant number, since it is smaller than the sum of its proper divisors (1665232560).

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

630825840 is a wasteful number, since it uses less digits than its factorization.

630825840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 630825840 is about 25116.2465348626. The cubic root of 630825840 is about 857.6363072988.

The spelling of 630825840 in words is "six hundred thirty million, eight hundred twenty-five thousand, eight hundred forty".