630788580 has 192 divisors, whose sum is σ = 2039304960. Its totient is φ = 161740800.

The previous prime is 630788579. The next prime is 630788603. The reversal of 630788580 is 85887036.

630788580 is a `hidden beast` number, since 63 + 0 + 7 + 8 + 8 + 580 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2617260 + ... + 2617500.

It is an arithmetic number, because the mean of its divisors is an integer number (10621380).

Almost surely, 2^630788580 is an apocalyptic number.

630788580 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 630788580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019652480).

630788580 is an abundant number, since it is smaller than the sum of its proper divisors (1408516380).

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

630788580 is a wasteful number, since it uses less digits than its factorization.

630788580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 630788580 is about 25115.5047729485. The cubic root of 630788580 is about 857.6194214137.

The spelling of 630788580 in words is "six hundred thirty million, seven hundred eighty-eight thousand, five hundred eighty".