945360 has 120 divisors (see below), whose sum is σ = 3452904. Its totient is φ = 230400.

The previous prime is 945359. The next prime is 945367. The reversal of 945360 is 63549.

It is a happy number.

945360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 788544 = 396^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9310 + ... + 9410.

2⁹⁴⁵³⁶⁰ is an apocalyptic number.

945360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726452).

945360 is an abundant number, since it is smaller than the sum of its proper divisors (2507544).

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

945360 is a wasteful number, since it uses less digits than its factorization.

945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 945360 is about 972.2962511498. The cubic root of 945360 is about 98.1444489286.

It can be divided in two parts, 9 and 45360, that added together give a square (45369 = 213²).

The spelling of 945360 in words is "nine hundred forty-five thousand, three hundred sixty".