630574560 has 576 divisors, whose sum is σ = 2762532864. Its totient is φ = 128240640.

The previous prime is 630574559. The next prime is 630574561. The reversal of 630574560 is 65475036.

630574560 = T₄₇₆₁ + T₄₇₆₂ + ... + T₄₈₁₅.

630574560 is a `hidden beast` number, since 6 + 30 + 574 + 56 + 0 = 666.

630574560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630574559) and next prime (630574561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630574561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416457 + ... + 13416503.

It is an arithmetic number, because the mean of its divisors is an integer number (4796064).

Almost surely, 2^630574560 is an apocalyptic number.

630574560 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 630574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381266432).

630574560 is an abundant number, since it is smaller than the sum of its proper divisors (2131958304).

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

630574560 is a wasteful number, since it uses less digits than its factorization.

630574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 630574560 is about 25111.2436967985. The cubic root of 630574560 is about 857.5224166608.

The spelling of 630574560 in words is "six hundred thirty million, five hundred seventy-four thousand, five hundred sixty".