688352000 has 216 divisors, whose sum is σ = 1999277280. Its totient is φ = 235468800.

The previous prime is 688351991. The next prime is 688352003. The reversal of 688352000 is 253886.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688352003) 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 23 ways as a sum of consecutive naturals, for example, 1567781 + ... + 1568219.

Almost surely, 2^688352000 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 688352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999638640).

688352000 is an abundant number, since it is smaller than the sum of its proper divisors (1310925280).

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

688352000 is an equidigital number, since it uses as much as digits as its factorization.

688352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 688352000 is about 26236.4631762744. The cubic root of 688352000 is about 882.9515220277.

The spelling of 688352000 in words is "six hundred eighty-eight million, three hundred fifty-two thousand".