706496 has 56 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 283392.

The previous prime is 706487. The next prime is 706499. The reversal of 706496 is 694607.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8471 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁷⁰⁶⁴⁹⁶ is an apocalyptic number.

706496 is a gapful number since it is divisible by the number (76) 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 706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

706496 is an abundant number, since it is smaller than the sum of its proper divisors (1000384).

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

706496 is a wasteful number, since it uses less digits than its factorization.

706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 706496 is about 840.5331641286. The cubic root of 706496 is about 89.0642132224.

The spelling of 706496 in words is "seven hundred six thousand, four hundred ninety-six".