689271120 has 200 divisors, whose sum is σ = 2535165864. Its totient is φ = 172965888.

The previous prime is 689271119. The next prime is 689271179. The reversal of 689271120 is 21172986.

It can be written as a sum of positive squares in 4 ways, for example, as 362673936 + 326597184 = 19044^2 + 18072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107032 + ... + 113288.

Almost surely, 2^689271120 is an apocalyptic number.

689271120 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 689271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267582932).

689271120 is an abundant number, since it is smaller than the sum of its proper divisors (1845894744).

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

689271120 is a wasteful number, since it uses less digits than its factorization.

689271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 689271120 is about 26253.9734135616. The cubic root of 689271120 is about 883.3443333941.

The spelling of 689271120 in words is "six hundred eighty-nine million, two hundred seventy-one thousand, one hundred twenty".