42634120 has 64 divisors (see below), whose sum is σ = 99033840. Its totient is φ = 16512000.

The previous prime is 42634103. The next prime is 42634121. The reversal of 42634120 is 2143624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28026436 + 14607684 = 5294^2 + 3822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42634091 and 42634100.

It is not an unprimeable number, because it can be changed into a prime (42634121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246354 + ... + 246526.

Almost surely, 2^42634120 is an apocalyptic number.

42634120 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 42634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49516920).

42634120 is an abundant number, since it is smaller than the sum of its proper divisors (56399720).

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

42634120 is a wasteful number, since it uses less digits than its factorization.

42634120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42634120 is about 6529.4808369426. The cubic root of 42634120 is about 349.3433128798.

Adding to 42634120 its reverse (2143624), we get a palindrome (44777744).

The spelling of 42634120 in words is "forty-two million, six hundred thirty-four thousand, one hundred twenty".