42510906 has 32 divisors (see below), whose sum is σ = 95644800. Its totient is φ = 14168844.

The previous prime is 42510887. The next prime is 42510907. The reversal of 42510906 is 60901524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42510906.

It is not an unprimeable number, because it can be changed into a prime (42510907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (2988900).

Almost surely, 2^42510906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42510906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822400).

42510906 is an abundant number, since it is smaller than the sum of its proper divisors (53133894).

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

42510906 is an frugal number, since it uses more digits than its factorization.

42510906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42510906 is about 6520.0388035655. The cubic root of 42510906 is about 349.0064502931.

The spelling of 42510906 in words is "forty-two million, five hundred ten thousand, nine hundred six".