688215264 has 96 divisors (see below), whose sum is σ = 2074584960. Its totient is φ = 197568000.

The previous prime is 688215263. The next prime is 688215289. The reversal of 688215264 is 462512886.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688215263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2914 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (21610260).

Almost surely, 2^688215264 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 688215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037292480).

688215264 is an abundant number, since it is smaller than the sum of its proper divisors (1386369696).

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

688215264 is a wasteful number, since it uses less digits than its factorization.

688215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34344 (or 34336 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 688215264 is about 26233.8572078145. The cubic root of 688215264 is about 882.8930542407.

The spelling of 688215264 in words is "six hundred eighty-eight million, two hundred fifteen thousand, two hundred sixty-four".