642086610 has 128 divisors (see below), whose sum is σ = 1727889408. Its totient is φ = 151392000.

The previous prime is 642086597. The next prime is 642086629. The reversal of 642086610 is 16680246.

It is a happy number.

642086610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3361615 + ... + 3361805.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^642086610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642086610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863944704).

642086610 is an abundant number, since it is smaller than the sum of its proper divisors (1085802798).

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

642086610 is a wasteful number, since it uses less digits than its factorization.

642086610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 642086610 is about 25339.4279730226. The cubic root of 642086610 is about 862.7094152284.

The spelling of 642086610 in words is "six hundred forty-two million, eighty-six thousand, six hundred ten".