706384 has 60 divisors (see below), whose sum is σ = 1717524. Its totient is φ = 279552.

The previous prime is 706373. The next prime is 706403. The reversal of 706384 is 483607.

706384 = T₁₄₇ + T₁₄₈ + ... + T₁₉₄.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 176400 = 728^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 13302 + ... + 13354.

2⁷⁰⁶³⁸⁴ 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 706384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858762).

706384 is an abundant number, since it is smaller than the sum of its proper divisors (1011140).

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

706384 is a wasteful number, since it uses less digits than its factorization.

706384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 706384 is about 840.4665371090. The cubic root of 706384 is about 89.0595065578.

The spelling of 706384 in words is "seven hundred six thousand, three hundred eighty-four".