736164 has 81 divisors (see below), whose sum is σ = 2214849. Its totient is φ = 205920.

The previous prime is 736159. The next prime is 736181. The reversal of 736164 is 461637.

The square root of 736164 is 858.

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., 108900 + 627264 = 330^2 + 792^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56622 + ... + 56634.

2⁷³⁶¹⁶⁴ is an apocalyptic number.

736164 is the 858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736164

736164 is an abundant number, since it is smaller than the sum of its proper divisors (1478685).

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

736164 is a wasteful number, since it uses less digits than its factorization.

736164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The cubic root of 736164 is about 90.2938543221.

It can be divided in two parts, 736 and 164, that added together give a square (900 = 30²).

The spelling of 736164 in words is "seven hundred thirty-six thousand, one hundred sixty-four".