1642133020 has 96 divisors (see below), whose sum is σ = 4076303616. Its totient is φ = 548889600.

The previous prime is 1642133011. The next prime is 1642133057. The reversal of 1642133020 is 203312461.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1642132982 and 1642133000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155715 + ... + 165925.

It is an arithmetic number, because the mean of its divisors is an integer number (42461496).

Almost surely, 2^1642133020 is an apocalyptic number.

1642133020 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 1642133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038151808).

1642133020 is an abundant number, since it is smaller than the sum of its proper divisors (2434170596).

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

1642133020 is a wasteful number, since it uses less digits than its factorization.

1642133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1642133020 is about 40523.2404923397. The cubic root of 1642133020 is about 1179.7847495911.

Adding to 1642133020 its reverse (203312461), we get a palindrome (1845445481).

The spelling of 1642133020 in words is "one billion, six hundred forty-two million, one hundred thirty-three thousand, twenty".