688150080 has 280 divisors, whose sum is σ = 2478389760. Its totient is φ = 181232640.

The previous prime is 688150069. The next prime is 688150103. The reversal of 688150080 is 80051886.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3602785 + ... + 3602975.

It is an arithmetic number, because the mean of its divisors is an integer number (8851392).

Almost surely, 2^688150080 is an apocalyptic number.

688150080 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 688150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239194880).

688150080 is an abundant number, since it is smaller than the sum of its proper divisors (1790239680).

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

688150080 is a wasteful number, since it uses less digits than its factorization.

688150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 688150080 is about 26232.6148143871. The cubic root of 688150080 is about 882.8651790874.

The spelling of 688150080 in words is "six hundred eighty-eight million, one hundred fifty thousand, eighty".