688095720 has 96 divisors (see below), whose sum is σ = 2408351400. Its totient is φ = 169376256.

The previous prime is 688095703. The next prime is 688095769. The reversal of 688095720 is 27590886.

It can be written as a sum of positive squares in 4 ways, for example, as 557998884 + 130096836 = 23622^2 + 11406^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68835 + ... + 78194.

Almost surely, 2^688095720 is an apocalyptic number.

688095720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688095720 is an abundant number, since it is smaller than the sum of its proper divisors (1720255680).

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

688095720 is a wasteful number, since it uses less digits than its factorization.

688095720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147059 (or 147052 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 688095720 is about 26231.5786791417. The cubic root of 688095720 is about 882.8419313414.

It can be divided in two parts, 68809 and 5720, that added together give a square (74529 = 273²).

The spelling of 688095720 in words is "six hundred eighty-eight million, ninety-five thousand, seven hundred twenty".