689070400 has 84 divisors (see below), whose sum is σ = 1702909980. Its totient is φ = 274432000.

The previous prime is 689070391. The next prime is 689070413. The reversal of 689070400 is 4070986.

It can be written as a sum of positive squares in 6 ways, for example, as 952576 + 688117824 = 976^2 + 26232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429600 + ... + 431200.

Almost surely, 2^689070400 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 689070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851454990).

689070400 is an abundant number, since it is smaller than the sum of its proper divisors (1013839580).

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

689070400 is a wasteful number, since it uses less digits than its factorization.

689070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 689070400 is about 26250.1504757592. The cubic root of 689070400 is about 883.2585799642.

The spelling of 689070400 in words is "six hundred eighty-nine million, seventy thousand, four hundred".