706374000 has 320 divisors, whose sum is σ = 2575073280. Its totient is φ = 185068800.

The previous prime is 706373957. The next prime is 706374007. The reversal of 706374000 is 473607.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706374007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5561937 + ... + 5562063.

It is an arithmetic number, because the mean of its divisors is an integer number (8047104).

Almost surely, 2^706374000 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 706374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287536640).

706374000 is an abundant number, since it is smaller than the sum of its proper divisors (1868699280).

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

706374000 is a wasteful number, since it uses less digits than its factorization.

706374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 706374000 is about 26577.6974171955. The cubic root of 706374000 is about 890.5908629575.

The spelling of 706374000 in words is "seven hundred six million, three hundred seventy-four thousand".