688166388 has 192 divisors, whose sum is σ = 2242240000. Its totient is φ = 181367424.

The previous prime is 688166359. The next prime is 688166399. The reversal of 688166388 is 883661886.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480858 + ... + 482286.

Almost surely, 2^688166388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688166388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121120000).

688166388 is an abundant number, since it is smaller than the sum of its proper divisors (1554073612).

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

688166388 is a wasteful number, since it uses less digits than its factorization.

688166388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1454 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 688166388 is about 26232.9256469804. The cubic root of 688166388 is about 882.8721531725.

The spelling of 688166388 in words is "six hundred eighty-eight million, one hundred sixty-six thousand, three hundred eighty-eight".