1680813504 has 336 divisors, whose sum is σ = 5396471808. Its totient is φ = 517321728.

The previous prime is 1680813461. The next prime is 1680813517. The reversal of 1680813504 is 4053180861.

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 47 ways as a sum of consecutive naturals, for example, 13234689 + ... + 13234815.

It is an arithmetic number, because the mean of its divisors is an integer number (16060928).

Almost surely, 2^1680813504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698235904).

1680813504 is an abundant number, since it is smaller than the sum of its proper divisors (3715658304).

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

1680813504 is a wasteful number, since it uses less digits than its factorization.

1680813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1680813504 is about 40997.7255954522. The cubic root of 1680813504 is about 1188.9762407119.

The spelling of 1680813504 in words is "one billion, six hundred eighty million, eight hundred thirteen thousand, five hundred four".