1689164000 has 48 divisors (see below), whose sum is σ = 4150285776. Its totient is φ = 675664000.

The previous prime is 1689163967. The next prime is 1689164003. The reversal of 1689164000 is 4619861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689164003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207146 + ... + 215145.

It is an arithmetic number, because the mean of its divisors is an integer number (86464287).

Almost surely, 2^1689164000 is an apocalyptic number.

1689164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1689164000 is an abundant number, since it is smaller than the sum of its proper divisors (2461121776).

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

1689164000 is an equidigital number, since it uses as much as digits as its factorization.

1689164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422316 (or 422298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1689164000 is about 41099.4403854846. The cubic root of 1689164000 is about 1190.9419841775.

The spelling of 1689164000 in words is "one billion, six hundred eighty-nine million, one hundred sixty-four thousand".