1680457350 has 192 divisors, whose sum is σ = 4937184000. Its totient is φ = 372902400.

The previous prime is 1680457343. The next prime is 1680457357. The reversal of 1680457350 is 537540861.

It is an interprime number because it is at equal distance from previous prime (1680457343) and next prime (1680457357).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1680457299 and 1680457308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680457357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3367401 + ... + 3367899.

It is an arithmetic number, because the mean of its divisors is an integer number (25714500).

Almost surely, 2^1680457350 is an apocalyptic number.

1680457350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680457350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468592000).

1680457350 is an abundant number, since it is smaller than the sum of its proper divisors (3256726650).

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

1680457350 is a wasteful number, since it uses less digits than its factorization.

1680457350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1680457350 is about 40993.3817829171. The cubic root of 1680457350 is about 1188.8922558724.

The spelling of 1680457350 in words is "one billion, six hundred eighty million, four hundred fifty-seven thousand, three hundred fifty".