688224064 has 28 divisors (see below), whose sum is σ = 1489850208. Its totient is φ = 312828800.

The previous prime is 688224059. The next prime is 688224077. The reversal of 688224064 is 460422886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488092 + ... + 489499.

It is an arithmetic number, because the mean of its divisors is an integer number (53208936).

Almost surely, 2^688224064 is an apocalyptic number.

688224064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

688224064 is an abundant number, since it is smaller than the sum of its proper divisors (801626144).

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

688224064 is a wasteful number, since it uses less digits than its factorization.

688224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977614 (or 977604 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 688224064 is about 26234.0249294690. The cubic root of 688224064 is about 882.8968173199.

The spelling of 688224064 in words is "six hundred eighty-eight million, two hundred twenty-four thousand, sixty-four".