688276900 has 72 divisors (see below), whose sum is σ = 1587884480. Its totient is φ = 258215040.

The previous prime is 688276873. The next prime is 688276907. The reversal of 688276900 is 9672886.

It is a super-2 number, since 2×688276900² = 947450182147220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688276907) 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, 193942 + ... + 197458.

Almost surely, 2^688276900 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 688276900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793942240).

688276900 is an abundant number, since it is smaller than the sum of its proper divisors (899607580).

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

688276900 is a wasteful number, since it uses less digits than its factorization.

688276900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 688276900 is about 26235.0319229842. The cubic root of 688276900 is about 882.9194105155.

The spelling of 688276900 in words is "six hundred eighty-eight million, two hundred seventy-six thousand, nine hundred".