42680610 has 96 divisors (see below), whose sum is σ = 130321152. Its totient is φ = 9486720.

The previous prime is 42680587. The next prime is 42680611. The reversal of 42680610 is 1608624.

42680610 is a `hidden beast` number, since 42 + 6 + 8 + 0 + 610 = 666.

It is not an unprimeable number, because it can be changed into a prime (42680611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22395 + ... + 24225.

It is an arithmetic number, because the mean of its divisors is an integer number (1357512).

Almost surely, 2^42680610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42680610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65160576).

42680610 is an abundant number, since it is smaller than the sum of its proper divisors (87640542).

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

42680610 is a wasteful number, since it uses less digits than its factorization.

42680610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42680610 is about 6533.0398743617. The cubic root of 42680610 is about 349.4702461976.

The spelling of 42680610 in words is "forty-two million, six hundred eighty thousand, six hundred ten".