688195872 has 192 divisors, whose sum is σ = 2470728960. Its totient is φ = 181481472.

The previous prime is 688195867. The next prime is 688195873. The reversal of 688195872 is 278591886.

It is a super-2 number, since 2×688195872² = 947227116475680768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (688195873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74248 + ... + 83000.

It is an arithmetic number, because the mean of its divisors is an integer number (12868380).

Almost surely, 2^688195872 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 688195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235364480).

688195872 is an abundant number, since it is smaller than the sum of its proper divisors (1782533088).

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

688195872 is a wasteful number, since it uses less digits than its factorization.

688195872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8778 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 688195872 is about 26233.4876064926. The cubic root of 688195872 is about 882.8847616691.

It can be divided in two parts, 68819 and 5872, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 688195872 in words is "six hundred eighty-eight million, one hundred ninety-five thousand, eight hundred seventy-two".