1688146380 has 96 divisors (see below), whose sum is σ = 5263534080. Its totient is φ = 449184960.

The previous prime is 1688146373. The next prime is 1688146451. The reversal of 1688146380 is 836418861.

It is a happy number.

1688146380 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 1 + 4 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261957 + ... + 268323.

It is an arithmetic number, because the mean of its divisors is an integer number (54828480).

Almost surely, 2^1688146380 is an apocalyptic number.

1688146380 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 1688146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631767040).

1688146380 is an abundant number, since it is smaller than the sum of its proper divisors (3575387700).

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

1688146380 is a wasteful number, since it uses less digits than its factorization.

1688146380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1688146380 is about 41087.0585464572. The cubic root of 1688146380 is about 1190.7027790964.

The spelling of 1688146380 in words is "one billion, six hundred eighty-eight million, one hundred forty-six thousand, three hundred eighty".