1680936096 has 96 divisors (see below), whose sum is σ = 5062514688. Its totient is φ = 478391040.

The previous prime is 1680936073. The next prime is 1680936097. The reversal of 1680936096 is 6906390861.

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

It is a super-3 number, since 3×1680936096³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1680936097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171981 + ... + 181491.

It is an arithmetic number, because the mean of its divisors is an integer number (52734528).

Almost surely, 2^1680936096 is an apocalyptic number.

1680936096 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 1680936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531257344).

1680936096 is an abundant number, since it is smaller than the sum of its proper divisors (3381578592).

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

1680936096 is a wasteful number, since it uses less digits than its factorization.

1680936096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 1680936096 is about 40999.2206755202. The cubic root of 1680936096 is about 1189.0051464434.

The spelling of 1680936096 in words is "one billion, six hundred eighty million, nine hundred thirty-six thousand, ninety-six".