689803968 has 336 divisors, whose sum is σ = 2376708480. Its totient is φ = 174956544.

The previous prime is 689803903. The next prime is 689803969. The reversal of 689803968 is 869308986.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (689803969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3038671 + ... + 3038897.

Almost surely, 2^689803968 is an apocalyptic number.

689803968 is a gapful number since it is divisible by the number (68) 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 689803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188354240).

689803968 is an abundant number, since it is smaller than the sum of its proper divisors (1686904512).

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

689803968 is a wasteful number, since it uses less digits than its factorization.

689803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 689803968 is about 26264.1194027137. The cubic root of 689803968 is about 883.5719008489.

The spelling of 689803968 in words is "six hundred eighty-nine million, eight hundred three thousand, nine hundred sixty-eight".