1680297120 has 144 divisors (see below), whose sum is σ = 5931885960. Its totient is φ = 432617472.

The previous prime is 1680297103. The next prime is 1680297121. The reversal of 1680297120 is 217920861.

It can be written as a sum of positive squares in 4 ways, for example, as 1518193296 + 162103824 = 38964^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1680297120² = 5646796822960588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1680297121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21642 + ... + 61878.

Almost surely, 2^1680297120 is an apocalyptic number.

1680297120 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 1680297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965942980).

1680297120 is an abundant number, since it is smaller than the sum of its proper divisors (4251588840).

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

1680297120 is a wasteful number, since it uses less digits than its factorization.

1680297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40287 (or 40276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1680297120 is about 40991.4273964691. The cubic root of 1680297120 is about 1188.8544680918.

The spelling of 1680297120 in words is "one billion, six hundred eighty million, two hundred ninety-seven thousand, one hundred twenty".