706440 has 96 divisors (see below), whose sum is σ = 2508480. Its totient is φ = 155904.

The previous prime is 706427. The next prime is 706463. The reversal of 706440 is 44607.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 706440.

It is an unprimeable number.

706440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24346 + ... + 24374.

It is an arithmetic number, because the mean of its divisors is an integer number (26130).

2⁷⁰⁶⁴⁴⁰ is an apocalyptic number.

706440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a pronic number, being equal to 840×841.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254240).

706440 is an abundant number, since it is smaller than the sum of its proper divisors (1802040).

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

706440 is a wasteful number, since it uses less digits than its factorization.

706440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 706440 is about 840.4998512790. The cubic root of 706440 is about 89.0618599523.

The spelling of 706440 in words is "seven hundred six thousand, four hundred forty".