688054752 has 576 divisors, whose sum is σ = 2717245440. Its totient is φ = 159667200.

The previous prime is 688054693. The next prime is 688054769. The reversal of 688054752 is 257450886.

It is a super-3 number, since 3×688054752³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688054698 and 688054707.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9690877 + ... + 9690947.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^688054752 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 688054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

688054752 is an abundant number, since it is smaller than the sum of its proper divisors (2029190688).

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

688054752 is a wasteful number, since it uses less digits than its factorization.

688054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 688054752 is about 26230.7977766594. The cubic root of 688054752 is about 882.8244100455.

The spelling of 688054752 in words is "six hundred eighty-eight million, fifty-four thousand, seven hundred fifty-two".