688232160 has 384 divisors, whose sum is σ = 3004646400. Its totient is φ = 142940160.

The previous prime is 688232141. The next prime is 688232161. The reversal of 688232160 is 61232886.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (688232161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331606 + ... + 333674.

It is an arithmetic number, because the mean of its divisors is an integer number (7824600).

Almost surely, 2^688232160 is an apocalyptic number.

688232160 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 688232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502323200).

688232160 is an abundant number, since it is smaller than the sum of its proper divisors (2316414240).

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

688232160 is a wasteful number, since it uses less digits than its factorization.

688232160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 688232160 is about 26234.1792324441. The cubic root of 688232160 is about 882.9002793245.

The spelling of 688232160 in words is "six hundred eighty-eight million, two hundred thirty-two thousand, one hundred sixty".