705600 has 189 divisors, whose sum is σ = 2917317. Its totient is φ = 161280.

The previous prime is 705559. The next prime is 705613. The reversal of 705600 is 6507.

The square root of 705600 is 840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 451584 = 504^2 + 672^2 .

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

It is an unprimeable number.

705600 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 26 ways as a sum of consecutive naturals, for example, 100797 + ... + 100803.

2⁷⁰⁵⁶⁰⁰ is an apocalyptic number.

705600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

705600 is the 840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705600

705600 is an abundant number, since it is smaller than the sum of its proper divisors (2211717).

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

705600 is a wasteful number, since it uses less digits than its factorization.

705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The cubic root of 705600 is about 89.0265459677.

The spelling of 705600 in words is "seven hundred five thousand, six hundred".