1689400800 has 540 divisors, whose sum is σ = 6586515936. Its totient is φ = 420940800.

The previous prime is 1689400799. The next prime is 1689400837. The reversal of 1689400800 is 80049861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 54496785 + ... + 54496815.

Almost surely, 2^1689400800 is an apocalyptic number.

1689400800 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 1689400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293257968).

1689400800 is an abundant number, since it is smaller than the sum of its proper divisors (4897115136).

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

1689400800 is a wasteful number, since it uses less digits than its factorization.

1689400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1689400800 is about 41102.3211023417. The cubic root of 1689400800 is about 1190.9976333792.

The spelling of 1689400800 in words is "one billion, six hundred eighty-nine million, four hundred thousand, eight hundred".