689040000 has 640 divisors, whose sum is σ = 2867832000. Its totient is φ = 161280000.

The previous prime is 689039983. The next prime is 689040013. The reversal of 689040000 is 40986.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×689040000² = 949552243200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23759986 + ... + 23760014.

Almost surely, 2^689040000 is an apocalyptic number.

689040000 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 689040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433916000).

689040000 is an abundant number, since it is smaller than the sum of its proper divisors (2178792000).

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

689040000 is a wasteful number, since it uses less digits than its factorization.

689040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 689040000 is about 26249.5714250728. The cubic root of 689040000 is about 883.2455907468.

Adding to 689040000 its reverse (40986), we get a palindrome (689080986).

The spelling of 689040000 in words is "six hundred eighty-nine million, forty thousand".