630120240 has 120 divisors (see below), whose sum is σ = 2150994768. Its totient is φ = 165265920.

The previous prime is 630120223. The next prime is 630120247. The reversal of 630120240 is 42021036.

It is a happy number.

630120240 is a `hidden beast` number, since 630 + 12 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (630120247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36747 + ... + 51093.

Almost surely, 2^630120240 is an apocalyptic number.

630120240 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 630120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075497384).

630120240 is an abundant number, since it is smaller than the sum of its proper divisors (1520874528).

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

630120240 is a wasteful number, since it uses less digits than its factorization.

630120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14418 counting only the distinct ones).

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

The square root of 630120240 is about 25102.1959198792. The cubic root of 630120240 is about 857.3164229469.

Adding to 630120240 its reverse (42021036), we get a palindrome (672141276).

The spelling of 630120240 in words is "six hundred thirty million, one hundred twenty thousand, two hundred forty".