42516810 has 144 divisors (see below), whose sum is σ = 133166592. Its totient is φ = 9374400.

The previous prime is 42516781. The next prime is 42516829. The reversal of 42516810 is 1861524.

It is a super-2 number, since 2×42516810² = 3615358265152200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136555 + ... + 136865.

It is an arithmetic number, because the mean of its divisors is an integer number (924768).

Almost surely, 2^42516810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66583296).

42516810 is an abundant number, since it is smaller than the sum of its proper divisors (90649782).

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

42516810 is a wasteful number, since it uses less digits than its factorization.

42516810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42516810 is about 6520.4915458882. The cubic root of 42516810 is about 349.0226064507.

The spelling of 42516810 in words is "forty-two million, five hundred sixteen thousand, eight hundred ten".