1680134400 has 540 divisors, whose sum is σ = 7115016832. Its totient is φ = 383201280.

The previous prime is 1680134387. The next prime is 1680134453. The reversal of 1680134400 is 44310861.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628569 + ... + 3629031.

Almost surely, 2^1680134400 is an apocalyptic number.

1680134400 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 1680134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557508416).

1680134400 is an abundant number, since it is smaller than the sum of its proper divisors (5434882432).

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

1680134400 is an equidigital number, since it uses as much as digits as its factorization.

1680134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1680134400 is about 40989.4425431720. The cubic root of 1680134400 is about 1188.8160906244.

The spelling of 1680134400 in words is "one billion, six hundred eighty million, one hundred thirty-four thousand, four hundred".