689971968 has 216 divisors, whose sum is σ = 2295820800. Its totient is φ = 195213312.

The previous prime is 689971951. The next prime is 689971969. The reversal of 689971968 is 869179986.

It is a super-2 number, since 2×689971968² = 952122633251586048, which contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (689971969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886793 + ... + 2887031.

It is an arithmetic number, because the mean of its divisors is an integer number (10628800).

Almost surely, 2^689971968 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 689971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147910400).

689971968 is an abundant number, since it is smaller than the sum of its proper divisors (1605848832).

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

689971968 is a wasteful number, since it uses less digits than its factorization.

689971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The square root of 689971968 is about 26267.3174877070. The cubic root of 689971968 is about 883.6436255887.

The spelling of 689971968 in words is "six hundred eighty-nine million, nine hundred seventy-one thousand, nine hundred sixty-eight".