1688351742 has 384 divisors, whose sum is σ = 5200588800. Its totient is φ = 400075200.

The previous prime is 1688351741. The next prime is 1688351747. The reversal of 1688351742 is 2471538861.

1688351742 is a `hidden beast` number, since 16 + 8 + 83 + 517 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688351741) 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 191 ways as a sum of consecutive naturals, for example, 23779567 + ... + 23779637.

It is an arithmetic number, because the mean of its divisors is an integer number (13543200).

Almost surely, 2^1688351742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688351742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

1688351742 is an abundant number, since it is smaller than the sum of its proper divisors (3512237058).

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

1688351742 is a wasteful number, since it uses less digits than its factorization.

1688351742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1688351742 is about 41089.5575785381. The cubic root of 1688351742 is about 1190.7510598996.

The spelling of 1688351742 in words is "one billion, six hundred eighty-eight million, three hundred fifty-one thousand, seven hundred forty-two".