706512 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 229120.

The previous prime is 706507. The next prime is 706523. The reversal of 706512 is 215607.

706512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×706512² = 998318412288, which contains 22 as substring.

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 706512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁷⁰⁶⁵¹² 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 706512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

706512 is an abundant number, since it is smaller than the sum of its proper divisors (1168368).

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

706512 is a wasteful number, since it uses less digits than its factorization.

706512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 706512 is about 840.5426818431. The cubic root of 706512 is about 89.0648855624.

The spelling of 706512 in words is "seven hundred six thousand, five hundred twelve".