42034960 has 80 divisors (see below), whose sum is σ = 109582272. Its totient is φ = 14860800.

The previous prime is 42034939. The next prime is 42034981. The reversal of 42034960 is 6943024.

It is an interprime number because it is at equal distance from previous prime (42034939) and next prime (42034981).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31915 + ... + 33205.

Almost surely, 2^42034960 is an apocalyptic number.

42034960 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 42034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54791136).

42034960 is an abundant number, since it is smaller than the sum of its proper divisors (67547312).

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

42034960 is a wasteful number, since it uses less digits than its factorization.

42034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 42034960 is about 6483.4373599195. The cubic root of 42034960 is about 347.6990836867.

Adding to 42034960 its reverse (6943024), we get a palindrome (48977984).

The spelling of 42034960 in words is "forty-two million, thirty-four thousand, nine hundred sixty".