1689295020 has 96 divisors (see below), whose sum is σ = 5428684800. Its totient is φ = 384486144.

The previous prime is 1689294989. The next prime is 1689295039. The reversal of 1689295020 is 205929861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91966 + ... + 108794.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 2^1689295020 is an apocalyptic number.

1689295020 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 1689295020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1689295020 is an abundant number, since it is smaller than the sum of its proper divisors (3739389780).

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

1689295020 is a wasteful number, since it uses less digits than its factorization.

1689295020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087 (or 17085 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1689295020 is about 41101.0342935552. The cubic root of 1689295020 is about 1190.9727751850.

The spelling of 1689295020 in words is "one billion, six hundred eighty-nine million, two hundred ninety-five thousand, twenty".