706128 has 40 divisors (see below), whose sum is σ = 1868928. Its totient is φ = 229632.

The previous prime is 706117. The next prime is 706133. The reversal of 706128 is 821607.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 706098 and 706107.

It is a congruent number.

It is an unprimeable number.

706128 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 7 ways as a sum of consecutive naturals, for example, 2100 + ... + 2412.

2⁷⁰⁶¹²⁸ 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 706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934464).

706128 is an abundant number, since it is smaller than the sum of its proper divisors (1162800).

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

706128 is a wasteful number, since it uses less digits than its factorization.

706128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 706128 is about 840.3142269413. The cubic root of 706128 is about 89.0487465989.

The spelling of 706128 in words is "seven hundred six thousand, one hundred twenty-eight".