688648064 has 64 divisors (see below), whose sum is σ = 1482092640. Its totient is φ = 316839936.

The previous prime is 688648061. The next prime is 688648067. The reversal of 688648064 is 460846886.

It is an interprime number because it is at equal distance from previous prime (688648061) and next prime (688648067).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688648061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926477 + ... + 927219.

Almost surely, 2^688648064 is an apocalyptic number.

688648064 is a gapful number since it is divisible by the number (64) 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 688648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741046320).

688648064 is an abundant number, since it is smaller than the sum of its proper divisors (793444576).

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

688648064 is a wasteful number, since it uses less digits than its factorization.

688648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The square root of 688648064 is about 26242.1047936327. The cubic root of 688648064 is about 883.0780913267.

The spelling of 688648064 in words is "six hundred eighty-eight million, six hundred forty-eight thousand, sixty-four".