706410 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 183264.

The previous prime is 706403. The next prime is 706417. The reversal of 706410 is 14607.

It is an interprime number because it is at equal distance from previous prime (706403) and next prime (706417).

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

It is not an unprimeable number, because it can be changed into a prime (706417) by changing a digit.

706410 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 4147 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁷⁰⁶⁴¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

706410 is an abundant number, since it is smaller than the sum of its proper divisors (1180566).

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

706410 is a wasteful number, since it uses less digits than its factorization.

706410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

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

The square root of 706410 is about 840.4820045664. The cubic root of 706410 is about 89.0605992207.

The spelling of 706410 in words is "seven hundred six thousand, four hundred ten".