1680472416 has 96 divisors (see below), whose sum is σ = 5054918400. Its totient is φ = 478849536.

The previous prime is 1680472399. The next prime is 1680472421. The reversal of 1680472416 is 6142740861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263635 + ... + 269933.

It is an arithmetic number, because the mean of its divisors is an integer number (52655400).

Almost surely, 2^1680472416 is an apocalyptic number.

1680472416 is a gapful number since it is divisible by the number (16) 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 1680472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527459200).

1680472416 is an abundant number, since it is smaller than the sum of its proper divisors (3374445984).

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

1680472416 is a wasteful number, since it uses less digits than its factorization.

1680472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1680472416 is about 40993.5655438753. The cubic root of 1680472416 is about 1188.8958088332.

The spelling of 1680472416 in words is "one billion, six hundred eighty million, four hundred seventy-two thousand, four hundred sixteen".