42006510 has 192 divisors, whose sum is σ = 140894208. Its totient is φ = 8439552.

The previous prime is 42006493. The next prime is 42006551. The reversal of 42006510 is 1560024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188259 + ... + 188481.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^42006510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42006510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

42006510 is an abundant number, since it is smaller than the sum of its proper divisors (98887698).

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

42006510 is a wasteful number, since it uses less digits than its factorization.

42006510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42006510 is about 6481.2429363510. The cubic root of 42006510 is about 347.6206230318.

Adding to 42006510 its reverse (1560024), we get a palindrome (43566534).

The spelling of 42006510 in words is "forty-two million, six thousand, five hundred ten".