689846976 has 448 divisors, whose sum is σ = 2580802560. Its totient is φ = 175841280.

The previous prime is 689846951. The next prime is 689847001. The reversal of 689846976 is 679648986.

It is an interprime number because it is at equal distance from previous prime (689846951) and next prime (689847001).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447115 + ... + 6447221.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^689846976 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 689846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290401280).

689846976 is an abundant number, since it is smaller than the sum of its proper divisors (1890955584).

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

689846976 is a wasteful number, since it uses less digits than its factorization.

689846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 689846976 is about 26264.9381495560. The cubic root of 689846976 is about 883.5902634912.

It can be divided in two parts, 68 and 9846976, that added together give a square (9847044 = 3138²).

The spelling of 689846976 in words is "six hundred eighty-nine million, eight hundred forty-six thousand, nine hundred seventy-six".