705636 has 36 divisors (see below), whose sum is σ = 1890252. Its totient is φ = 221184.

The previous prime is 705631. The next prime is 705643. The reversal of 705636 is 636507.

705636 = T₂₆ + T₂₇ + ... + T₁₆₁.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 152100 = 744^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (705631) by changing a digit.

705636 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 11 ways as a sum of consecutive naturals, for example, 36 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (52507).

2⁷⁰⁵⁶³⁶ 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 705636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945126).

705636 is an abundant number, since it is smaller than the sum of its proper divisors (1184616).

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

705636 is a wasteful number, since it uses less digits than its factorization.

705636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 705636 is about 840.0214282981. The cubic root of 705636 is about 89.0280599988.

It can be divided in two parts, 7056 and 36, that multiplied together give a square (254016 = 504²).

The spelling of 705636 in words is "seven hundred five thousand, six hundred thirty-six".