1689332400 has 360 divisors, whose sum is σ = 6860156160. Its totient is φ = 376911360.

The previous prime is 1689332387. The next prime is 1689332413. The reversal of 1689332400 is 42339861.

1689332400 is a `hidden beast` number, since 168 + 93 + 3 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1689332387) and next prime (1689332413).

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1082821 + ... + 1084379.

Almost surely, 2^1689332400 is an apocalyptic number.

1689332400 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 1689332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430078080).

1689332400 is an abundant number, since it is smaller than the sum of its proper divisors (5170823760).

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

1689332400 is a wasteful number, since it uses less digits than its factorization.

1689332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1689332400 is about 41101.4890241217. The cubic root of 1689332400 is about 1190.9815595662.

The spelling of 1689332400 in words is "one billion, six hundred eighty-nine million, three hundred thirty-two thousand, four hundred".