689011200 has 180 divisors, whose sum is σ = 2466193158. Its totient is φ = 183705600.

The previous prime is 689011189. The next prime is 689011201. The reversal of 689011200 is 2110986.

It can be written as a sum of positive squares in 3 ways, for example, as 303595776 + 385415424 = 17424^2 + 19632^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (689011201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112210 + ... + 118190.

Almost surely, 2^689011200 is an apocalyptic number.

689011200 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 689011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233096579).

689011200 is an abundant number, since it is smaller than the sum of its proper divisors (1777181958).

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

689011200 is a wasteful number, since it uses less digits than its factorization.

689011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 689011200 is about 26249.0228389554. The cubic root of 689011200 is about 883.2332848199.

The spelling of 689011200 in words is "six hundred eighty-nine million, eleven thousand, two hundred".