1689206400 has 960 divisors, whose sum is σ = 7652040000. Its totient is φ = 365783040.

The previous prime is 1689206371. The next prime is 1689206423. The reversal of 1689206400 is 46029861.

1689206400 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905591 + ... + 88905609.

It is an arithmetic number, because the mean of its divisors is an integer number (7970875).

Almost surely, 2^1689206400 is an apocalyptic number.

1689206400 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 1689206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826020000).

1689206400 is an abundant number, since it is smaller than the sum of its proper divisors (5962833600).

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

1689206400 is an equidigital number, since it uses as much as digits as its factorization.

1689206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1689206400 is about 41099.9562043562. The cubic root of 1689206400 is about 1190.9519487749.

The spelling of 1689206400 in words is "one billion, six hundred eighty-nine million, two hundred six thousand, four hundred".