688213800 has 96 divisors (see below), whose sum is σ = 2370532800. Its totient is φ = 183522240.

The previous prime is 688213777. The next prime is 688213807. The reversal of 688213800 is 8312886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (688213807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58324 + ... + 69123.

It is an arithmetic number, because the mean of its divisors is an integer number (24693050).

Almost surely, 2^688213800 is an apocalyptic number.

688213800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688213800 is an abundant number, since it is smaller than the sum of its proper divisors (1682319000).

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

688213800 is a wasteful number, since it uses less digits than its factorization.

688213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127472 (or 127457 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688213800 is about 26233.8293049261. The cubic root of 688213800 is about 882.8924281980.

The spelling of 688213800 in words is "six hundred eighty-eight million, two hundred thirteen thousand, eight hundred".