688920900 has 72 divisors (see below), whose sum is σ = 1995913920. Its totient is φ = 183469440.

The previous prime is 688920887. The next prime is 688920901. The reversal of 688920900 is 9029886.

It is a super-2 number, since 2×688920900² = 949224012913620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688920901) 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, 427897 + ... + 429503.

Almost surely, 2^688920900 is an apocalyptic number.

688920900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688920900 is an abundant number, since it is smaller than the sum of its proper divisors (1306993020).

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

688920900 is a wasteful number, since it uses less digits than its factorization.

688920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 688920900 is about 26247.3027185652. The cubic root of 688920900 is about 883.1946983886.

The spelling of 688920900 in words is "six hundred eighty-eight million, nine hundred twenty thousand, nine hundred".