706104000 has 448 divisors, whose sum is σ = 2967045120. Its totient is φ = 161049600.

The previous prime is 706103971. The next prime is 706104023. The reversal of 706104000 is 401607.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 1511767 + ... + 1512233.

Almost surely, 2^706104000 is an apocalyptic number.

706104000 is a gapful number since it is divisible by the number (70) 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 706104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483522560).

706104000 is an abundant number, since it is smaller than the sum of its proper divisors (2260941120).

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

706104000 is a wasteful number, since it uses less digits than its factorization.

706104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 706104000 is about 26572.6174849223. The cubic root of 706104000 is about 890.4773771946.

Adding to 706104000 its reverse (401607), we get a palindrome (706505607).

The spelling of 706104000 in words is "seven hundred six million, one hundred four thousand".