688356400 has 60 divisors (see below), whose sum is σ = 1661407552. Its totient is φ = 274072320.

The previous prime is 688356373. The next prime is 688356413. The reversal of 688356400 is 4653886.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85342 + ... + 93058.

Almost surely, 2^688356400 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 688356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830703776).

688356400 is an abundant number, since it is smaller than the sum of its proper divisors (973051152).

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

688356400 is a wasteful number, since it uses less digits than its factorization.

688356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 688356400 is about 26236.5470289061. The cubic root of 688356400 is about 882.9534033221.

The spelling of 688356400 in words is "six hundred eighty-eight million, three hundred fifty-six thousand, four hundred".