688161600 has 252 divisors, whose sum is σ = 2795710944. Its totient is φ = 157271040.

The previous prime is 688161571. The next prime is 688161601. The reversal of 688161600 is 6161886.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688161601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97387 + ... + 104213.

Almost surely, 2^688161600 is an apocalyptic number.

688161600 is a gapful number since it is divisible by the number (60) 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 688161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397855472).

688161600 is an abundant number, since it is smaller than the sum of its proper divisors (2107549344).

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

688161600 is a wasteful number, since it uses less digits than its factorization.

688161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 688161600 is about 26232.8343874618. The cubic root of 688161600 is about 882.8701056048.

The spelling of 688161600 in words is "six hundred eighty-eight million, one hundred sixty-one thousand, six hundred".