1680031800 has 192 divisors, whose sum is σ = 6127509600. Its totient is φ = 421632000.

The previous prime is 1680031781. The next prime is 1680031807. The reversal of 1680031800 is 81300861.

It is a super-2 number, since 2×1680031800² = 5645013698022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680031807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82650 + ... + 100950.

Almost surely, 2^1680031800 is an apocalyptic number.

1680031800 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 1680031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063754800).

1680031800 is an abundant number, since it is smaller than the sum of its proper divisors (4447477800).

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

1680031800 is a wasteful number, since it uses less digits than its factorization.

1680031800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1680031800 is about 40988.1909822817. The cubic root of 1680031800 is about 1188.7918911687.

The spelling of 1680031800 in words is "one billion, six hundred eighty million, thirty-one thousand, eight hundred".