688980600 has 384 divisors, whose sum is σ = 2960524800. Its totient is φ = 143078400.

The previous prime is 688980599. The next prime is 688980601. The reversal of 688980600 is 6089886.

It is an interprime number because it is at equal distance from previous prime (688980599) and next prime (688980601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688980601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414972 + ... + 416628.

It is an arithmetic number, because the mean of its divisors is an integer number (7709700).

Almost surely, 2^688980600 is an apocalyptic number.

688980600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480262400).

688980600 is an abundant number, since it is smaller than the sum of its proper divisors (2271544200).

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

688980600 is a wasteful number, since it uses less digits than its factorization.

688980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 688980600 is about 26248.4399536430. The cubic root of 688980600 is about 883.2202093970.

The spelling of 688980600 in words is "six hundred eighty-eight million, nine hundred eighty thousand, six hundred".