630144 has 48 divisors (see below), whose sum is σ = 1816620. Its totient is φ = 209664.

The previous prime is 630127. The next prime is 630151. The reversal of 630144 is 441036.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 1425.

2⁶³⁰¹⁴⁴ is an apocalyptic number.

630144 is a gapful number since it is divisible by the number (64) 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 630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908310).

630144 is an abundant number, since it is smaller than the sum of its proper divisors (1186476).

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

630144 is a wasteful number, since it uses less digits than its factorization.

630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 630144 is about 793.8160996100. The cubic root of 630144 is about 85.7327198447.

The spelling of 630144 in words is "six hundred thirty thousand, one hundred forty-four".