689032032 has 192 divisors, whose sum is σ = 2109348864. Its totient is φ = 195010560.

The previous prime is 689032013. The next prime is 689032033. The reversal of 689032032 is 230230986.

It is a super-2 number, since 2×689032032² = 949530282244098048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 689031984 and 689032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689032033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996807 + ... + 997497.

It is an arithmetic number, because the mean of its divisors is an integer number (10986192).

Almost surely, 2^689032032 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 689032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054674432).

689032032 is an abundant number, since it is smaller than the sum of its proper divisors (1420316832).

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

689032032 is a wasteful number, since it uses less digits than its factorization.

689032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 689032032 is about 26249.4196507275. The cubic root of 689032032 is about 883.2421861413.

The spelling of 689032032 in words is "six hundred eighty-nine million, thirty-two thousand, thirty-two".