945600 has 84 divisors (see below), whose sum is σ = 3118104. Its totient is φ = 250880.

The previous prime is 945589. The next prime is 945601. The reversal of 945600 is 6549.

945600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945601) 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, 4702 + ... + 4898.

2⁹⁴⁵⁶⁰⁰ 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 945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559052).

945600 is an abundant number, since it is smaller than the sum of its proper divisors (2172504).

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

945600 is a wasteful number, since it uses less digits than its factorization.

945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 945600 is about 972.4196624915. The cubic root of 945600 is about 98.1527535867.

The spelling of 945600 in words is "nine hundred forty-five thousand, six hundred".