689629680 has 160 divisors (see below), whose sum is σ = 2439873600. Its totient is φ = 178910208.

The previous prime is 689629679. The next prime is 689629697. The reversal of 689629680 is 86926986.

689629680 is a `hidden beast` number, since 6 + 8 + 9 + 629 + 6 + 8 + 0 = 666.

689629680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75606 + ... + 84234.

It is an arithmetic number, because the mean of its divisors is an integer number (15249210).

Almost surely, 2^689629680 is an apocalyptic number.

689629680 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 689629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219936800).

689629680 is an abundant number, since it is smaller than the sum of its proper divisors (1750243920).

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

689629680 is a wasteful number, since it uses less digits than its factorization.

689629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 689629680 is about 26260.8012063608. The cubic root of 689629680 is about 883.4974792460.

The spelling of 689629680 in words is "six hundred eighty-nine million, six hundred twenty-nine thousand, six hundred eighty".