1688858340 has 192 divisors, whose sum is σ = 5280334080. Its totient is φ = 400619520.

The previous prime is 1688858323. The next prime is 1688858341. The reversal of 1688858340 is 438588861.

It is not an unprimeable number, because it can be changed into a prime (1688858341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011330 + ... + 4011750.

It is an arithmetic number, because the mean of its divisors is an integer number (27501740).

Almost surely, 2^1688858340 is an apocalyptic number.

1688858340 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 1688858340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640167040).

1688858340 is an abundant number, since it is smaller than the sum of its proper divisors (3591475740).

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

1688858340 is a wasteful number, since it uses less digits than its factorization.

1688858340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The square root of 1688858340 is about 41095.7216751330. The cubic root of 1688858340 is about 1190.8701448364.

It can be divided in two parts, 168885 and 8340, that multiplied together give a square (1408500900 = 37530²).

The spelling of 1688858340 in words is "one billion, six hundred eighty-eight million, eight hundred fifty-eight thousand, three hundred forty".