1642839660 has 576 divisors, whose sum is σ = 6604416000. Its totient is φ = 327398400.

The previous prime is 1642839643. The next prime is 1642839661. The reversal of 1642839660 is 669382461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1642839661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27844711 + ... + 27844769.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1642839660 is an apocalyptic number.

1642839660 is a gapful number since it is divisible by the number (10) 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 1642839660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

1642839660 is an abundant number, since it is smaller than the sum of its proper divisors (4961576340).

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

1642839660 is a wasteful number, since it uses less digits than its factorization.

1642839660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1642839660 is about 40531.9585019032. The cubic root of 1642839660 is about 1179.9539530054.

The spelling of 1642839660 in words is "one billion, six hundred forty-two million, eight hundred thirty-nine thousand, six hundred sixty".