642086460 has 96 divisors (see below), whose sum is σ = 2027531520. Its totient is φ = 168657984.

The previous prime is 642086429. The next prime is 642086461. The reversal of 642086460 is 64680246.

It is a happy number.

642086460 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 8 + 646 + 0 = 666.

642086460 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642086461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27307 + ... + 45053.

It is an arithmetic number, because the mean of its divisors is an integer number (21120120).

Almost surely, 2^642086460 is an apocalyptic number.

642086460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642086460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013765760).

642086460 is an abundant number, since it is smaller than the sum of its proper divisors (1385445060).

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

642086460 is a wasteful number, since it uses less digits than its factorization.

642086460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 642086460 is about 25339.4250132082. The cubic root of 642086460 is about 862.7093480482.

The spelling of 642086460 in words is "six hundred forty-two million, eighty-six thousand, four hundred sixty".