42630120 has 96 divisors (see below), whose sum is σ = 149221800. Its totient is φ = 10492416.

The previous prime is 42630113. The next prime is 42630127. The reversal of 42630120 is 2103624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42630113) and next prime (42630127).

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 25341156 = 4158^2 + 5034^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42630093 and 42630102.

It is not an unprimeable number, because it can be changed into a prime (42630127) 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, 126 + ... + 9234.

Almost surely, 2^42630120 is an apocalyptic number.

42630120 is a gapful number since it is divisible by the number (40) 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 42630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74610900).

42630120 is an abundant number, since it is smaller than the sum of its proper divisors (106591680).

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

42630120 is a wasteful number, since it uses less digits than its factorization.

42630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9132 counting only the distinct ones).

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

The square root of 42630120 is about 6529.1745266917. The cubic root of 42630120 is about 349.3323872256.

Adding to 42630120 its reverse (2103624), we get a palindrome (44733744).

The spelling of 42630120 in words is "forty-two million, six hundred thirty thousand, one hundred twenty".