746564 has 36 divisors (see below), whose sum is σ = 1642284. Its totient is φ = 294336.

The previous prime is 746563. The next prime is 746597. The reversal of 746564 is 465647.

746564 = T₆₄ + T₆₅ + ... + T₁₆₇.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 313600 = 658^2 + 560^2 .

Its product of digits (20160) is a multiple of the sum of its prime divisors (315).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 746564.

It is not an unprimeable number, because it can be changed into a prime (746561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (45619).

2⁷⁴⁶⁵⁶⁴ 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 746564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821142).

746564 is an abundant number, since it is smaller than the sum of its proper divisors (895720).

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

746564 is a wasteful number, since it uses less digits than its factorization.

746564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 746564 is about 864.0393509557. The cubic root of 746564 is about 90.7170699658.

The spelling of 746564 in words is "seven hundred forty-six thousand, five hundred sixty-four".