689472000 has 800 divisors, whose sum is σ = 3089623680. Its totient is φ = 149299200.

The previous prime is 689471977. The next prime is 689472001. The reversal of 689472000 is 274986.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689472001) 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 79 ways as a sum of consecutive naturals, for example, 36287991 + ... + 36288009.

Almost surely, 2^689472000 is an apocalyptic number.

689472000 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 689472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544811840).

689472000 is an abundant number, since it is smaller than the sum of its proper divisors (2400151680).

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

689472000 is an equidigital number, since it uses as much as digits as its factorization.

689472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 689472000 is about 26257.7988414871. The cubic root of 689472000 is about 883.4301385145.

The spelling of 689472000 in words is "six hundred eighty-nine million, four hundred seventy-two thousand".