1669886400 has 336 divisors, whose sum is σ = 6744679424. Its totient is φ = 352235520.

The previous prime is 1669886399. The next prime is 1669886419. The reversal of 1669886400 is 46889661.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1669886400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434889 + ... + 438711.

Almost surely, 2^1669886400 is an apocalyptic number.

1669886400 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 1669886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372339712).

1669886400 is an abundant number, since it is smaller than the sum of its proper divisors (5074793024).

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

1669886400 is a wasteful number, since it uses less digits than its factorization.

1669886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1669886400 is about 40864.2435388201. The cubic root of 1669886400 is about 1186.3940935769.

The spelling of 1669886400 in words is "one billion, six hundred sixty-nine million, eight hundred eighty-six thousand, four hundred".